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Finding the Fourth Proportional to 3,031.21, 4,546.82 and 951.13

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Solution

The fourth proportional to 3,031.21, 4,546.82 and 951.13 is: 1,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.21 : 4,546.82 = 951.13 : x
  2. Step 2: Convert to fraction form
    3,031.21/4,546.82 = 951.13/x
  3. Step 3: Cross multiply
    3,031.21x = 4,546.82 × 951.13
  4. Step 4: Simplify right side
    3,031.21x = 4,324,616.91
  5. Step 5: Solve for x
    x = 4,324,616.91/3,031.21
  6. Step 6: Final answer
    x = 1,426.70

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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.