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Finding the Fourth Proportional to 3,141.38, 4,712.16 and 1,167.50

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Solution

The fourth proportional to 3,141.38, 4,712.16 and 1,167.50 is: 1,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.38 : 4,712.16 = 1,167.50 : x
  2. Step 2: Convert to fraction form
    3,141.38/4,712.16 = 1,167.50/x
  3. Step 3: Cross multiply
    3,141.38x = 4,712.16 × 1,167.50
  4. Step 4: Simplify right side
    3,141.38x = 5,501,423.24
  5. Step 5: Solve for x
    x = 5,501,423.24/3,141.38
  6. Step 6: Final answer
    x = 1,751.28

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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.