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Finding the Fourth Proportional to 3,167.18, 4,751.18 and 1,524.10

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Solution

The fourth proportional to 3,167.18, 4,751.18 and 1,524.10 is: 2,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.18 : 4,751.18 = 1,524.10 : x
  2. Step 2: Convert to fraction form
    3,167.18/4,751.18 = 1,524.10/x
  3. Step 3: Cross multiply
    3,167.18x = 4,751.18 × 1,524.10
  4. Step 4: Simplify right side
    3,167.18x = 7,241,273.44
  5. Step 5: Solve for x
    x = 7,241,273.44/3,167.18
  6. Step 6: Final answer
    x = 2,286.35

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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.