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Finding the Fourth Proportional to 3,031.09, 4,546.82 and 951.17

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Solution

The fourth proportional to 3,031.09, 4,546.82 and 951.17 is: 1,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.09 : 4,546.82 = 951.17 : x
  2. Step 2: Convert to fraction form
    3,031.09/4,546.82 = 951.17/x
  3. Step 3: Cross multiply
    3,031.09x = 4,546.82 × 951.17
  4. Step 4: Simplify right side
    3,031.09x = 4,324,815.31
  5. Step 5: Solve for x
    x = 4,324,815.31/3,031.09
  6. Step 6: Final answer
    x = 1,426.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.