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Finding the Fourth Proportional to 2,489.70, 3,434.29 and 1,593.63

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Solution

The fourth proportional to 2,489.70, 3,434.29 and 1,593.63 is: 2,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.70 : 3,434.29 = 1,593.63 : x
  2. Step 2: Convert to fraction form
    2,489.70/3,434.29 = 1,593.63/x
  3. Step 3: Cross multiply
    2,489.70x = 3,434.29 × 1,593.63
  4. Step 4: Simplify right side
    2,489.70x = 5,472,987.57
  5. Step 5: Solve for x
    x = 5,472,987.57/2,489.70
  6. Step 6: Final answer
    x = 2,198.25

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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.