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Finding the Fourth Proportional to 2,429.14, 3,644.32 and 697.76

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Solution

The fourth proportional to 2,429.14, 3,644.32 and 697.76 is: 1,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.14 : 3,644.32 = 697.76 : x
  2. Step 2: Convert to fraction form
    2,429.14/3,644.32 = 697.76/x
  3. Step 3: Cross multiply
    2,429.14x = 3,644.32 × 697.76
  4. Step 4: Simplify right side
    2,429.14x = 2,542,860.72
  5. Step 5: Solve for x
    x = 2,542,860.72/2,429.14
  6. Step 6: Final answer
    x = 1,046.82

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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.