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Finding the Fourth Proportional to 2,902.52, 4,353.92 and 1,171

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Solution

The fourth proportional to 2,902.52, 4,353.92 and 1,171 is: 1,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.52 : 4,353.92 = 1,171 : x
  2. Step 2: Convert to fraction form
    2,902.52/4,353.92 = 1,171/x
  3. Step 3: Cross multiply
    2,902.52x = 4,353.92 × 1,171
  4. Step 4: Simplify right side
    2,902.52x = 5,098,440.32
  5. Step 5: Solve for x
    x = 5,098,440.32/2,902.52
  6. Step 6: Final answer
    x = 1,756.56

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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.