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Finding the Fourth Proportional to 1,674.93, 2,311.47 and 966.75

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Solution

The fourth proportional to 1,674.93, 2,311.47 and 966.75 is: 1,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.93 : 2,311.47 = 966.75 : x
  2. Step 2: Convert to fraction form
    1,674.93/2,311.47 = 966.75/x
  3. Step 3: Cross multiply
    1,674.93x = 2,311.47 × 966.75
  4. Step 4: Simplify right side
    1,674.93x = 2,234,613.62
  5. Step 5: Solve for x
    x = 2,234,613.62/1,674.93
  6. Step 6: Final answer
    x = 1,334.15

Related Problems

Find fourth proportional to 837.47, 1,155.74 and 483.38
Half scale
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Double scale
Find fourth proportional to 1,675.93, 2,312.85 and 967.75
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.