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Finding the Fourth Proportional to 2,591.26, 3,886.99 and 925.90

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Solution

The fourth proportional to 2,591.26, 3,886.99 and 925.90 is: 1,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.26 : 3,886.99 = 925.90 : x
  2. Step 2: Convert to fraction form
    2,591.26/3,886.99 = 925.90/x
  3. Step 3: Cross multiply
    2,591.26x = 3,886.99 × 925.90
  4. Step 4: Simplify right side
    2,591.26x = 3,598,952.01
  5. Step 5: Solve for x
    x = 3,598,952.01/2,591.26
  6. Step 6: Final answer
    x = 1,388.88

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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.