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Finding the Fourth Proportional to 2,562.42, 3,538.12 and 2,001.92

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Solution

The fourth proportional to 2,562.42, 3,538.12 and 2,001.92 is: 2,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.42 : 3,538.12 = 2,001.92 : x
  2. Step 2: Convert to fraction form
    2,562.42/3,538.12 = 2,001.92/x
  3. Step 3: Cross multiply
    2,562.42x = 3,538.12 × 2,001.92
  4. Step 4: Simplify right side
    2,562.42x = 7,083,033.19
  5. Step 5: Solve for x
    x = 7,083,033.19/2,562.42
  6. Step 6: Final answer
    x = 2,764.20

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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.