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Finding the Fourth Proportional to 2,429.69, 3,644.25 and 698.27

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Solution

The fourth proportional to 2,429.69, 3,644.25 and 698.27 is: 1,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.69 : 3,644.25 = 698.27 : x
  2. Step 2: Convert to fraction form
    2,429.69/3,644.25 = 698.27/x
  3. Step 3: Cross multiply
    2,429.69x = 3,644.25 × 698.27
  4. Step 4: Simplify right side
    2,429.69x = 2,544,652.23
  5. Step 5: Solve for x
    x = 2,544,652.23/2,429.69
  6. Step 6: Final answer
    x = 1,047.32

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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.