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Finding the Fourth Proportional to 1,591.29, 2,386.53 and 616.86

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Solution

The fourth proportional to 1,591.29, 2,386.53 and 616.86 is: 925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.29 : 2,386.53 = 616.86 : x
  2. Step 2: Convert to fraction form
    1,591.29/2,386.53 = 616.86/x
  3. Step 3: Cross multiply
    1,591.29x = 2,386.53 × 616.86
  4. Step 4: Simplify right side
    1,591.29x = 1,472,154.90
  5. Step 5: Solve for x
    x = 1,472,154.90/1,591.29
  6. Step 6: Final answer
    x = 925.13

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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.