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Finding the Fourth Proportional to 2,538.80, 3,810.92 and 2,132.40

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Solution

The fourth proportional to 2,538.80, 3,810.92 and 2,132.40 is: 3,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.80 : 3,810.92 = 2,132.40 : x
  2. Step 2: Convert to fraction form
    2,538.80/3,810.92 = 2,132.40/x
  3. Step 3: Cross multiply
    2,538.80x = 3,810.92 × 2,132.40
  4. Step 4: Simplify right side
    2,538.80x = 8,126,405.81
  5. Step 5: Solve for x
    x = 8,126,405.81/2,538.80
  6. Step 6: Final answer
    x = 3,200.88

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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.