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Finding the Fourth Proportional to 2,431.97, 3,648.03 and 951.13

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Solution

The fourth proportional to 2,431.97, 3,648.03 and 951.13 is: 1,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.97 : 3,648.03 = 951.13 : x
  2. Step 2: Convert to fraction form
    2,431.97/3,648.03 = 951.13/x
  3. Step 3: Cross multiply
    2,431.97x = 3,648.03 × 951.13
  4. Step 4: Simplify right side
    2,431.97x = 3,469,746.02
  5. Step 5: Solve for x
    x = 3,469,746.02/2,431.97
  6. Step 6: Final answer
    x = 1,426.72

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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.