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Finding the Fourth Proportional to 2,891.25, 3,987.68 and 1,882.80

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Solution

The fourth proportional to 2,891.25, 3,987.68 and 1,882.80 is: 2,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.25 : 3,987.68 = 1,882.80 : x
  2. Step 2: Convert to fraction form
    2,891.25/3,987.68 = 1,882.80/x
  3. Step 3: Cross multiply
    2,891.25x = 3,987.68 × 1,882.80
  4. Step 4: Simplify right side
    2,891.25x = 7,508,003.90
  5. Step 5: Solve for x
    x = 7,508,003.90/2,891.25
  6. Step 6: Final answer
    x = 2,596.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.