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Finding the Fourth Proportional to 2,456.62, 3,687.36 and 1,159

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Solution

The fourth proportional to 2,456.62, 3,687.36 and 1,159 is: 1,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.62 : 3,687.36 = 1,159 : x
  2. Step 2: Convert to fraction form
    2,456.62/3,687.36 = 1,159/x
  3. Step 3: Cross multiply
    2,456.62x = 3,687.36 × 1,159
  4. Step 4: Simplify right side
    2,456.62x = 4,273,650.24
  5. Step 5: Solve for x
    x = 4,273,650.24/2,456.62
  6. Step 6: Final answer
    x = 1,739.65

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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.