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Finding the Fourth Proportional to 2,234.81, 3,084.10 and 1,240.13

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Solution

The fourth proportional to 2,234.81, 3,084.10 and 1,240.13 is: 1,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.81 : 3,084.10 = 1,240.13 : x
  2. Step 2: Convert to fraction form
    2,234.81/3,084.10 = 1,240.13/x
  3. Step 3: Cross multiply
    2,234.81x = 3,084.10 × 1,240.13
  4. Step 4: Simplify right side
    2,234.81x = 3,824,689.54
  5. Step 5: Solve for x
    x = 3,824,689.54/2,234.81
  6. Step 6: Final answer
    x = 1,711.41

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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.