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Finding the Fourth Proportional to 2,234.92, 3,084.13 and 1,240.17

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Solution

The fourth proportional to 2,234.92, 3,084.13 and 1,240.17 is: 1,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.92 : 3,084.13 = 1,240.17 : x
  2. Step 2: Convert to fraction form
    2,234.92/3,084.13 = 1,240.17/x
  3. Step 3: Cross multiply
    2,234.92x = 3,084.13 × 1,240.17
  4. Step 4: Simplify right side
    2,234.92x = 3,824,845.50
  5. Step 5: Solve for x
    x = 3,824,845.50/2,234.92
  6. Step 6: Final answer
    x = 1,711.40

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