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Finding the Fourth Proportional to 3,031.40, 4,546.30 and 951.40

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Solution

The fourth proportional to 3,031.40, 4,546.30 and 951.40 is: 1,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.40 : 4,546.30 = 951.40 : x
  2. Step 2: Convert to fraction form
    3,031.40/4,546.30 = 951.40/x
  3. Step 3: Cross multiply
    3,031.40x = 4,546.30 × 951.40
  4. Step 4: Simplify right side
    3,031.40x = 4,325,349.82
  5. Step 5: Solve for x
    x = 4,325,349.82/3,031.40
  6. Step 6: Final answer
    x = 1,426.85

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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.