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Finding the Fourth Proportional to 2,902.50, 4,350.10 and 2,082.38

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Solution

The fourth proportional to 2,902.50, 4,350.10 and 2,082.38 is: 3,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.50 : 4,350.10 = 2,082.38 : x
  2. Step 2: Convert to fraction form
    2,902.50/4,350.10 = 2,082.38/x
  3. Step 3: Cross multiply
    2,902.50x = 4,350.10 × 2,082.38
  4. Step 4: Simplify right side
    2,902.50x = 9,058,561.24
  5. Step 5: Solve for x
    x = 9,058,561.24/2,902.50
  6. Step 6: Final answer
    x = 3,120.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.