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Finding the Fourth Proportional to 3,180.76, 4,763.40 and 2,251.90

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Solution

The fourth proportional to 3,180.76, 4,763.40 and 2,251.90 is: 3,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.76 : 4,763.40 = 2,251.90 : x
  2. Step 2: Convert to fraction form
    3,180.76/4,763.40 = 2,251.90/x
  3. Step 3: Cross multiply
    3,180.76x = 4,763.40 × 2,251.90
  4. Step 4: Simplify right side
    3,180.76x = 10,726,700.46
  5. Step 5: Solve for x
    x = 10,726,700.46/3,180.76
  6. Step 6: Final answer
    x = 3,372.37

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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.