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Finding the Fourth Proportional to 2,834.93, 4,253.16 and 986.15

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Solution

The fourth proportional to 2,834.93, 4,253.16 and 986.15 is: 1,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.93 : 4,253.16 = 986.15 : x
  2. Step 2: Convert to fraction form
    2,834.93/4,253.16 = 986.15/x
  3. Step 3: Cross multiply
    2,834.93x = 4,253.16 × 986.15
  4. Step 4: Simplify right side
    2,834.93x = 4,194,232.47
  5. Step 5: Solve for x
    x = 4,194,232.47/2,834.93
  6. Step 6: Final answer
    x = 1,479.49

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Double scale
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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.