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Finding the Fourth Proportional to 2,593.74, 3,896.49 and 1,500.78

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Solution

The fourth proportional to 2,593.74, 3,896.49 and 1,500.78 is: 2,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.74 : 3,896.49 = 1,500.78 : x
  2. Step 2: Convert to fraction form
    2,593.74/3,896.49 = 1,500.78/x
  3. Step 3: Cross multiply
    2,593.74x = 3,896.49 × 1,500.78
  4. Step 4: Simplify right side
    2,593.74x = 5,847,774.26
  5. Step 5: Solve for x
    x = 5,847,774.26/2,593.74
  6. Step 6: Final answer
    x = 2,254.57

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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.