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Finding the Fourth Proportional to 2,322.38, 3,484.76 and 1,542.92

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Solution

The fourth proportional to 2,322.38, 3,484.76 and 1,542.92 is: 2,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.38 : 3,484.76 = 1,542.92 : x
  2. Step 2: Convert to fraction form
    2,322.38/3,484.76 = 1,542.92/x
  3. Step 3: Cross multiply
    2,322.38x = 3,484.76 × 1,542.92
  4. Step 4: Simplify right side
    2,322.38x = 5,376,688.48
  5. Step 5: Solve for x
    x = 5,376,688.48/2,322.38
  6. Step 6: Final answer
    x = 2,315.17

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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.