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Finding the Fourth Proportional to 2,152.76, 3,229.35 and 691.57

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Solution

The fourth proportional to 2,152.76, 3,229.35 and 691.57 is: 1,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.76 : 3,229.35 = 691.57 : x
  2. Step 2: Convert to fraction form
    2,152.76/3,229.35 = 691.57/x
  3. Step 3: Cross multiply
    2,152.76x = 3,229.35 × 691.57
  4. Step 4: Simplify right side
    2,152.76x = 2,233,321.58
  5. Step 5: Solve for x
    x = 2,233,321.58/2,152.76
  6. Step 6: Final answer
    x = 1,037.42

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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.