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Finding the Fourth Proportional to 2,659.92, 3,983.94 and 1,732.65

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Solution

The fourth proportional to 2,659.92, 3,983.94 and 1,732.65 is: 2,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.92 : 3,983.94 = 1,732.65 : x
  2. Step 2: Convert to fraction form
    2,659.92/3,983.94 = 1,732.65/x
  3. Step 3: Cross multiply
    2,659.92x = 3,983.94 × 1,732.65
  4. Step 4: Simplify right side
    2,659.92x = 6,902,773.64
  5. Step 5: Solve for x
    x = 6,902,773.64/2,659.92
  6. Step 6: Final answer
    x = 2,595.11

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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.