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Finding the Fourth Proportional to 3,031.31, 4,546.31 and 951.03

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Solution

The fourth proportional to 3,031.31, 4,546.31 and 951.03 is: 1,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.31 : 4,546.31 = 951.03 : x
  2. Step 2: Convert to fraction form
    3,031.31/4,546.31 = 951.03/x
  3. Step 3: Cross multiply
    3,031.31x = 4,546.31 × 951.03
  4. Step 4: Simplify right side
    3,031.31x = 4,323,672.44
  5. Step 5: Solve for x
    x = 4,323,672.44/3,031.31
  6. Step 6: Final answer
    x = 1,426.34

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1.5x scale

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.