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Finding the Fourth Proportional to 1,437.92, 2,156.88 and 616.13

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Solution

The fourth proportional to 1,437.92, 2,156.88 and 616.13 is: 924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.92 : 2,156.88 = 616.13 : x
  2. Step 2: Convert to fraction form
    1,437.92/2,156.88 = 616.13/x
  3. Step 3: Cross multiply
    1,437.92x = 2,156.88 × 616.13
  4. Step 4: Simplify right side
    1,437.92x = 1,328,904.61
  5. Step 5: Solve for x
    x = 1,328,904.61/1,437.92
  6. Step 6: Final answer
    x = 924.19

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