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Finding the Fourth Proportional to 3,342.65, 4,614.96 and 2,148.17

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Solution

The fourth proportional to 3,342.65, 4,614.96 and 2,148.17 is: 2,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.65 : 4,614.96 = 2,148.17 : x
  2. Step 2: Convert to fraction form
    3,342.65/4,614.96 = 2,148.17/x
  3. Step 3: Cross multiply
    3,342.65x = 4,614.96 × 2,148.17
  4. Step 4: Simplify right side
    3,342.65x = 9,913,717.48
  5. Step 5: Solve for x
    x = 9,913,717.48/3,342.65
  6. Step 6: Final answer
    x = 2,965.83

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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.