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Finding the Fourth Proportional to 2,538.75, 3,810.84 and 2,132.32

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Solution

The fourth proportional to 2,538.75, 3,810.84 and 2,132.32 is: 3,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.75 : 3,810.84 = 2,132.32 : x
  2. Step 2: Convert to fraction form
    2,538.75/3,810.84 = 2,132.32/x
  3. Step 3: Cross multiply
    2,538.75x = 3,810.84 × 2,132.32
  4. Step 4: Simplify right side
    2,538.75x = 8,125,930.35
  5. Step 5: Solve for x
    x = 8,125,930.35/2,538.75
  6. Step 6: Final answer
    x = 3,200.76

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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.