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Finding the Fourth Proportional to 2,402.55, 3,586.61 and 2,231.24

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Solution

The fourth proportional to 2,402.55, 3,586.61 and 2,231.24 is: 3,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.55 : 3,586.61 = 2,231.24 : x
  2. Step 2: Convert to fraction form
    2,402.55/3,586.61 = 2,231.24/x
  3. Step 3: Cross multiply
    2,402.55x = 3,586.61 × 2,231.24
  4. Step 4: Simplify right side
    2,402.55x = 8,002,575.34
  5. Step 5: Solve for x
    x = 8,002,575.34/2,402.55
  6. Step 6: Final answer
    x = 3,330.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.