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Finding the Fourth Proportional to 1,524.98, 2,287.92 and 876.20

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Solution

The fourth proportional to 1,524.98, 2,287.92 and 876.20 is: 1,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.98 : 2,287.92 = 876.20 : x
  2. Step 2: Convert to fraction form
    1,524.98/2,287.92 = 876.20/x
  3. Step 3: Cross multiply
    1,524.98x = 2,287.92 × 876.20
  4. Step 4: Simplify right side
    1,524.98x = 2,004,675.50
  5. Step 5: Solve for x
    x = 2,004,675.50/1,524.98
  6. Step 6: Final answer
    x = 1,314.56

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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.