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Finding the Fourth Proportional to 2,154.24, 3,229.76 and 854.72

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Solution

The fourth proportional to 2,154.24, 3,229.76 and 854.72 is: 1,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.24 : 3,229.76 = 854.72 : x
  2. Step 2: Convert to fraction form
    2,154.24/3,229.76 = 854.72/x
  3. Step 3: Cross multiply
    2,154.24x = 3,229.76 × 854.72
  4. Step 4: Simplify right side
    2,154.24x = 2,760,540.47
  5. Step 5: Solve for x
    x = 2,760,540.47/2,154.24
  6. Step 6: Final answer
    x = 1,281.45

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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.