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Finding the Fourth Proportional to 1,651.90, 2,475.96 and 830.74

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Solution

The fourth proportional to 1,651.90, 2,475.96 and 830.74 is: 1,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.90 : 2,475.96 = 830.74 : x
  2. Step 2: Convert to fraction form
    1,651.90/2,475.96 = 830.74/x
  3. Step 3: Cross multiply
    1,651.90x = 2,475.96 × 830.74
  4. Step 4: Simplify right side
    1,651.90x = 2,056,879.01
  5. Step 5: Solve for x
    x = 2,056,879.01/1,651.90
  6. Step 6: Final answer
    x = 1,245.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.