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Finding the Fourth Proportional to 2,429.22, 3,644.11 and 697.85

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Solution

The fourth proportional to 2,429.22, 3,644.11 and 697.85 is: 1,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.22 : 3,644.11 = 697.85 : x
  2. Step 2: Convert to fraction form
    2,429.22/3,644.11 = 697.85/x
  3. Step 3: Cross multiply
    2,429.22x = 3,644.11 × 697.85
  4. Step 4: Simplify right side
    2,429.22x = 2,543,034.56
  5. Step 5: Solve for x
    x = 2,543,034.56/2,429.22
  6. Step 6: Final answer
    x = 1,046.85

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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.