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Finding the Fourth Proportional to 2,257.83, 3,381.23 and 1,380.71

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Solution

The fourth proportional to 2,257.83, 3,381.23 and 1,380.71 is: 2,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.83 : 3,381.23 = 1,380.71 : x
  2. Step 2: Convert to fraction form
    2,257.83/3,381.23 = 1,380.71/x
  3. Step 3: Cross multiply
    2,257.83x = 3,381.23 × 1,380.71
  4. Step 4: Simplify right side
    2,257.83x = 4,668,509.98
  5. Step 5: Solve for x
    x = 4,668,509.98/2,257.83
  6. Step 6: Final answer
    x = 2,067.70

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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.