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Finding the Fourth Proportional to 2,082.52, 3,125.31 and 986.88

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Solution

The fourth proportional to 2,082.52, 3,125.31 and 986.88 is: 1,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.52 : 3,125.31 = 986.88 : x
  2. Step 2: Convert to fraction form
    2,082.52/3,125.31 = 986.88/x
  3. Step 3: Cross multiply
    2,082.52x = 3,125.31 × 986.88
  4. Step 4: Simplify right side
    2,082.52x = 3,084,319.50
  5. Step 5: Solve for x
    x = 3,084,319.50/2,082.52
  6. Step 6: Final answer
    x = 1,481.05

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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.