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Finding the Fourth Proportional to 2,640.74, 3,942.92 and 2,330.14

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Solution

The fourth proportional to 2,640.74, 3,942.92 and 2,330.14 is: 3,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.74 : 3,942.92 = 2,330.14 : x
  2. Step 2: Convert to fraction form
    2,640.74/3,942.92 = 2,330.14/x
  3. Step 3: Cross multiply
    2,640.74x = 3,942.92 × 2,330.14
  4. Step 4: Simplify right side
    2,640.74x = 9,187,555.61
  5. Step 5: Solve for x
    x = 9,187,555.61/2,640.74
  6. Step 6: Final answer
    x = 3,479.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.