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Finding the Fourth Proportional to 3,242.96, 4,472.52 and 2,140.88

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Solution

The fourth proportional to 3,242.96, 4,472.52 and 2,140.88 is: 2,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.96 : 4,472.52 = 2,140.88 : x
  2. Step 2: Convert to fraction form
    3,242.96/4,472.52 = 2,140.88/x
  3. Step 3: Cross multiply
    3,242.96x = 4,472.52 × 2,140.88
  4. Step 4: Simplify right side
    3,242.96x = 9,575,128.62
  5. Step 5: Solve for x
    x = 9,575,128.62/3,242.96
  6. Step 6: Final answer
    x = 2,952.59

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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.