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Finding the Fourth Proportional to 2,872.48, 4,311.60 and 2,230.24

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Solution

The fourth proportional to 2,872.48, 4,311.60 and 2,230.24 is: 3,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.48 : 4,311.60 = 2,230.24 : x
  2. Step 2: Convert to fraction form
    2,872.48/4,311.60 = 2,230.24/x
  3. Step 3: Cross multiply
    2,872.48x = 4,311.60 × 2,230.24
  4. Step 4: Simplify right side
    2,872.48x = 9,615,902.78
  5. Step 5: Solve for x
    x = 9,615,902.78/2,872.48
  6. Step 6: Final answer
    x = 3,347.60

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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.