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Finding the Fourth Proportional to 2,505.20, 3,757.80 and 862.88

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Solution

The fourth proportional to 2,505.20, 3,757.80 and 862.88 is: 1,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.20 : 3,757.80 = 862.88 : x
  2. Step 2: Convert to fraction form
    2,505.20/3,757.80 = 862.88/x
  3. Step 3: Cross multiply
    2,505.20x = 3,757.80 × 862.88
  4. Step 4: Simplify right side
    2,505.20x = 3,242,530.46
  5. Step 5: Solve for x
    x = 3,242,530.46/2,505.20
  6. Step 6: Final answer
    x = 1,294.32

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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.