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Finding the Fourth Proportional to 2,152.56, 3,229.38 and 854.40

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Solution

The fourth proportional to 2,152.56, 3,229.38 and 854.40 is: 1,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.56 : 3,229.38 = 854.40 : x
  2. Step 2: Convert to fraction form
    2,152.56/3,229.38 = 854.40/x
  3. Step 3: Cross multiply
    2,152.56x = 3,229.38 × 854.40
  4. Step 4: Simplify right side
    2,152.56x = 2,759,182.27
  5. Step 5: Solve for x
    x = 2,759,182.27/2,152.56
  6. Step 6: Final answer
    x = 1,281.81

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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.