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Finding the Fourth Proportional to 4,160.88, 6,242.16 and 2,082.24

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Solution

The fourth proportional to 4,160.88, 6,242.16 and 2,082.24 is: 3,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.88 : 6,242.16 = 2,082.24 : x
  2. Step 2: Convert to fraction form
    4,160.88/6,242.16 = 2,082.24/x
  3. Step 3: Cross multiply
    4,160.88x = 6,242.16 × 2,082.24
  4. Step 4: Simplify right side
    4,160.88x = 12,997,675.24
  5. Step 5: Solve for x
    x = 12,997,675.24/4,160.88
  6. Step 6: Final answer
    x = 3,123.78

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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.