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Finding the Fourth Proportional to 2,593.28, 3,890.58 and 861.86

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Solution

The fourth proportional to 2,593.28, 3,890.58 and 861.86 is: 1,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.28 : 3,890.58 = 861.86 : x
  2. Step 2: Convert to fraction form
    2,593.28/3,890.58 = 861.86/x
  3. Step 3: Cross multiply
    2,593.28x = 3,890.58 × 861.86
  4. Step 4: Simplify right side
    2,593.28x = 3,353,135.28
  5. Step 5: Solve for x
    x = 3,353,135.28/2,593.28
  6. Step 6: Final answer
    x = 1,293.01

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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.