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Finding the Fourth Proportional to 3,151.60, 4,721.03 and 1,589.43

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Solution

The fourth proportional to 3,151.60, 4,721.03 and 1,589.43 is: 2,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.60 : 4,721.03 = 1,589.43 : x
  2. Step 2: Convert to fraction form
    3,151.60/4,721.03 = 1,589.43/x
  3. Step 3: Cross multiply
    3,151.60x = 4,721.03 × 1,589.43
  4. Step 4: Simplify right side
    3,151.60x = 7,503,744.73
  5. Step 5: Solve for x
    x = 7,503,744.73/3,151.60
  6. Step 6: Final answer
    x = 2,380.93

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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.