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Finding the Fourth Proportional to 2,153.14, 3,229.01 and 691.94

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Solution

The fourth proportional to 2,153.14, 3,229.01 and 691.94 is: 1,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.14 : 3,229.01 = 691.94 : x
  2. Step 2: Convert to fraction form
    2,153.14/3,229.01 = 691.94/x
  3. Step 3: Cross multiply
    2,153.14x = 3,229.01 × 691.94
  4. Step 4: Simplify right side
    2,153.14x = 2,234,281.18
  5. Step 5: Solve for x
    x = 2,234,281.18/2,153.14
  6. Step 6: Final answer
    x = 1,037.69

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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.