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Finding the Fourth Proportional to 1,519.88, 2,280.78 and 871.88

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Solution

The fourth proportional to 1,519.88, 2,280.78 and 871.88 is: 1,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.88 : 2,280.78 = 871.88 : x
  2. Step 2: Convert to fraction form
    1,519.88/2,280.78 = 871.88/x
  3. Step 3: Cross multiply
    1,519.88x = 2,280.78 × 871.88
  4. Step 4: Simplify right side
    1,519.88x = 1,988,566.47
  5. Step 5: Solve for x
    x = 1,988,566.47/1,519.88
  6. Step 6: Final answer
    x = 1,308.37

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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.