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Finding the Fourth Proportional to 2,082.87, 3,123.50 and 1,042.29

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Solution

The fourth proportional to 2,082.87, 3,123.50 and 1,042.29 is: 1,563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.87 : 3,123.50 = 1,042.29 : x
  2. Step 2: Convert to fraction form
    2,082.87/3,123.50 = 1,042.29/x
  3. Step 3: Cross multiply
    2,082.87x = 3,123.50 × 1,042.29
  4. Step 4: Simplify right side
    2,082.87x = 3,255,587.60
  5. Step 5: Solve for x
    x = 3,255,587.60/2,082.87
  6. Step 6: Final answer
    x = 1,563.03

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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.