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Finding the Fourth Proportional to 2,514.88, 3,772.36 and 1,591.84

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Solution

The fourth proportional to 2,514.88, 3,772.36 and 1,591.84 is: 2,387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.88 : 3,772.36 = 1,591.84 : x
  2. Step 2: Convert to fraction form
    2,514.88/3,772.36 = 1,591.84/x
  3. Step 3: Cross multiply
    2,514.88x = 3,772.36 × 1,591.84
  4. Step 4: Simplify right side
    2,514.88x = 6,004,993.54
  5. Step 5: Solve for x
    x = 6,004,993.54/2,514.88
  6. Step 6: Final answer
    x = 2,387.79

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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.