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Finding the Fourth Proportional to 2,532.38, 3,800.52 and 1,757.82

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Solution

The fourth proportional to 2,532.38, 3,800.52 and 1,757.82 is: 2,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.38 : 3,800.52 = 1,757.82 : x
  2. Step 2: Convert to fraction form
    2,532.38/3,800.52 = 1,757.82/x
  3. Step 3: Cross multiply
    2,532.38x = 3,800.52 × 1,757.82
  4. Step 4: Simplify right side
    2,532.38x = 6,680,630.07
  5. Step 5: Solve for x
    x = 6,680,630.07/2,532.38
  6. Step 6: Final answer
    x = 2,638.08

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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.