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Finding the Fourth Proportional to 2,152.93, 3,229.69 and 765.85

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Solution

The fourth proportional to 2,152.93, 3,229.69 and 765.85 is: 1,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.93 : 3,229.69 = 765.85 : x
  2. Step 2: Convert to fraction form
    2,152.93/3,229.69 = 765.85/x
  3. Step 3: Cross multiply
    2,152.93x = 3,229.69 × 765.85
  4. Step 4: Simplify right side
    2,152.93x = 2,473,468.08
  5. Step 5: Solve for x
    x = 2,473,468.08/2,152.93
  6. Step 6: Final answer
    x = 1,148.89

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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.