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Finding the Fourth Proportional to 2,593.81, 3,891.29 and 744.78

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Solution

The fourth proportional to 2,593.81, 3,891.29 and 744.78 is: 1,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.81 : 3,891.29 = 744.78 : x
  2. Step 2: Convert to fraction form
    2,593.81/3,891.29 = 744.78/x
  3. Step 3: Cross multiply
    2,593.81x = 3,891.29 × 744.78
  4. Step 4: Simplify right side
    2,593.81x = 2,898,170.02
  5. Step 5: Solve for x
    x = 2,898,170.02/2,593.81
  6. Step 6: Final answer
    x = 1,117.34

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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.