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Finding the Fourth Proportional to 3,142.88, 4,712.48 and 950.96

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Solution

The fourth proportional to 3,142.88, 4,712.48 and 950.96 is: 1,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.88 : 4,712.48 = 950.96 : x
  2. Step 2: Convert to fraction form
    3,142.88/4,712.48 = 950.96/x
  3. Step 3: Cross multiply
    3,142.88x = 4,712.48 × 950.96
  4. Step 4: Simplify right side
    3,142.88x = 4,481,379.98
  5. Step 5: Solve for x
    x = 4,481,379.98/3,142.88
  6. Step 6: Final answer
    x = 1,425.88

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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.