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Finding the Fourth Proportional to 2,640.16, 3,953.44 and 2,562.32

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Solution

The fourth proportional to 2,640.16, 3,953.44 and 2,562.32 is: 3,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.16 : 3,953.44 = 2,562.32 : x
  2. Step 2: Convert to fraction form
    2,640.16/3,953.44 = 2,562.32/x
  3. Step 3: Cross multiply
    2,640.16x = 3,953.44 × 2,562.32
  4. Step 4: Simplify right side
    2,640.16x = 10,129,978.38
  5. Step 5: Solve for x
    x = 10,129,978.38/2,640.16
  6. Step 6: Final answer
    x = 3,836.88

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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.