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Finding the Fourth Proportional to 2,248.71, 3,370.38 and 1,589.59

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Solution

The fourth proportional to 2,248.71, 3,370.38 and 1,589.59 is: 2,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.71 : 3,370.38 = 1,589.59 : x
  2. Step 2: Convert to fraction form
    2,248.71/3,370.38 = 1,589.59/x
  3. Step 3: Cross multiply
    2,248.71x = 3,370.38 × 1,589.59
  4. Step 4: Simplify right side
    2,248.71x = 5,357,520.60
  5. Step 5: Solve for x
    x = 5,357,520.60/2,248.71
  6. Step 6: Final answer
    x = 2,382.48

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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.