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Finding the Fourth Proportional to 3,176.52, 4,764.24 and 868.08

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Solution

The fourth proportional to 3,176.52, 4,764.24 and 868.08 is: 1,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.52 : 4,764.24 = 868.08 : x
  2. Step 2: Convert to fraction form
    3,176.52/4,764.24 = 868.08/x
  3. Step 3: Cross multiply
    3,176.52x = 4,764.24 × 868.08
  4. Step 4: Simplify right side
    3,176.52x = 4,135,741.46
  5. Step 5: Solve for x
    x = 4,135,741.46/3,176.52
  6. Step 6: Final answer
    x = 1,301.97

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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.