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Finding the Fourth Proportional to 2,711.72, 4,061.86 and 1,409.24

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Solution

The fourth proportional to 2,711.72, 4,061.86 and 1,409.24 is: 2,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.72 : 4,061.86 = 1,409.24 : x
  2. Step 2: Convert to fraction form
    2,711.72/4,061.86 = 1,409.24/x
  3. Step 3: Cross multiply
    2,711.72x = 4,061.86 × 1,409.24
  4. Step 4: Simplify right side
    2,711.72x = 5,724,135.59
  5. Step 5: Solve for x
    x = 5,724,135.59/2,711.72
  6. Step 6: Final answer
    x = 2,110.89

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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.