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Finding the Fourth Proportional to 2,382.87, 3,288.31 and 1,374.57

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Solution

The fourth proportional to 2,382.87, 3,288.31 and 1,374.57 is: 1,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.87 : 3,288.31 = 1,374.57 : x
  2. Step 2: Convert to fraction form
    2,382.87/3,288.31 = 1,374.57/x
  3. Step 3: Cross multiply
    2,382.87x = 3,288.31 × 1,374.57
  4. Step 4: Simplify right side
    2,382.87x = 4,520,003.46
  5. Step 5: Solve for x
    x = 4,520,003.46/2,382.87
  6. Step 6: Final answer
    x = 1,896.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.