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Finding the Fourth Proportional to 1,987.65, 2,979.92 and 1,255.69

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Solution

The fourth proportional to 1,987.65, 2,979.92 and 1,255.69 is: 1,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.65 : 2,979.92 = 1,255.69 : x
  2. Step 2: Convert to fraction form
    1,987.65/2,979.92 = 1,255.69/x
  3. Step 3: Cross multiply
    1,987.65x = 2,979.92 × 1,255.69
  4. Step 4: Simplify right side
    1,987.65x = 3,741,842.02
  5. Step 5: Solve for x
    x = 3,741,842.02/1,987.65
  6. Step 6: Final answer
    x = 1,882.55

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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.