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Finding the Fourth Proportional to 2,854.56, 4,286.16 and 2,532

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Solution

The fourth proportional to 2,854.56, 4,286.16 and 2,532 is: 3,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.56 : 4,286.16 = 2,532 : x
  2. Step 2: Convert to fraction form
    2,854.56/4,286.16 = 2,532/x
  3. Step 3: Cross multiply
    2,854.56x = 4,286.16 × 2,532
  4. Step 4: Simplify right side
    2,854.56x = 10,852,557.12
  5. Step 5: Solve for x
    x = 10,852,557.12/2,854.56
  6. Step 6: Final answer
    x = 3,801.83

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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.