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Finding the Fourth Proportional to 1,520.96, 2,281.43 and 871.23

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Solution

The fourth proportional to 1,520.96, 2,281.43 and 871.23 is: 1,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.96 : 2,281.43 = 871.23 : x
  2. Step 2: Convert to fraction form
    1,520.96/2,281.43 = 871.23/x
  3. Step 3: Cross multiply
    1,520.96x = 2,281.43 × 871.23
  4. Step 4: Simplify right side
    1,520.96x = 1,987,645.90
  5. Step 5: Solve for x
    x = 1,987,645.90/1,520.96
  6. Step 6: Final answer
    x = 1,306.84

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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.