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Finding the Fourth Proportional to 2,152.97, 3,229.46 and 854.43

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Solution

The fourth proportional to 2,152.97, 3,229.46 and 854.43 is: 1,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.97 : 3,229.46 = 854.43 : x
  2. Step 2: Convert to fraction form
    2,152.97/3,229.46 = 854.43/x
  3. Step 3: Cross multiply
    2,152.97x = 3,229.46 × 854.43
  4. Step 4: Simplify right side
    2,152.97x = 2,759,349.64
  5. Step 5: Solve for x
    x = 2,759,349.64/2,152.97
  6. Step 6: Final answer
    x = 1,281.65

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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.