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Finding the Fourth Proportional to 2,593.81, 3,889.90 and 1,033.38

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Solution

The fourth proportional to 2,593.81, 3,889.90 and 1,033.38 is: 1,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.81 : 3,889.90 = 1,033.38 : x
  2. Step 2: Convert to fraction form
    2,593.81/3,889.90 = 1,033.38/x
  3. Step 3: Cross multiply
    2,593.81x = 3,889.90 × 1,033.38
  4. Step 4: Simplify right side
    2,593.81x = 4,019,744.86
  5. Step 5: Solve for x
    x = 4,019,744.86/2,593.81
  6. Step 6: Final answer
    x = 1,549.75

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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.