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Finding the Fourth Proportional to 1,524.96, 2,288.34 and 876.24

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Solution

The fourth proportional to 1,524.96, 2,288.34 and 876.24 is: 1,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.96 : 2,288.34 = 876.24 : x
  2. Step 2: Convert to fraction form
    1,524.96/2,288.34 = 876.24/x
  3. Step 3: Cross multiply
    1,524.96x = 2,288.34 × 876.24
  4. Step 4: Simplify right side
    1,524.96x = 2,005,135.04
  5. Step 5: Solve for x
    x = 2,005,135.04/1,524.96
  6. Step 6: Final answer
    x = 1,314.88

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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.