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Finding the Fourth Proportional to 2,532.96, 3,799.68 and 1,072.32

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Solution

The fourth proportional to 2,532.96, 3,799.68 and 1,072.32 is: 1,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.96 : 3,799.68 = 1,072.32 : x
  2. Step 2: Convert to fraction form
    2,532.96/3,799.68 = 1,072.32/x
  3. Step 3: Cross multiply
    2,532.96x = 3,799.68 × 1,072.32
  4. Step 4: Simplify right side
    2,532.96x = 4,074,472.86
  5. Step 5: Solve for x
    x = 4,074,472.86/2,532.96
  6. Step 6: Final answer
    x = 1,608.58

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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.