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Finding the Fourth Proportional to 2,687.56, 4,036.14 and 1,765

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Solution

The fourth proportional to 2,687.56, 4,036.14 and 1,765 is: 2,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.56 : 4,036.14 = 1,765 : x
  2. Step 2: Convert to fraction form
    2,687.56/4,036.14 = 1,765/x
  3. Step 3: Cross multiply
    2,687.56x = 4,036.14 × 1,765
  4. Step 4: Simplify right side
    2,687.56x = 7,123,787.10
  5. Step 5: Solve for x
    x = 7,123,787.10/2,687.56
  6. Step 6: Final answer
    x = 2,650.65

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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.