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Finding the Fourth Proportional to 2,234.86, 3,084.14 and 1,240.18

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Solution

The fourth proportional to 2,234.86, 3,084.14 and 1,240.18 is: 1,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.86 : 3,084.14 = 1,240.18 : x
  2. Step 2: Convert to fraction form
    2,234.86/3,084.14 = 1,240.18/x
  3. Step 3: Cross multiply
    2,234.86x = 3,084.14 × 1,240.18
  4. Step 4: Simplify right side
    2,234.86x = 3,824,888.75
  5. Step 5: Solve for x
    x = 3,824,888.75/2,234.86
  6. Step 6: Final answer
    x = 1,711.47

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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.