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Finding the Fourth Proportional to 2,149.69, 3,223.58 and 744.24

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Solution

The fourth proportional to 2,149.69, 3,223.58 and 744.24 is: 1,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.69 : 3,223.58 = 744.24 : x
  2. Step 2: Convert to fraction form
    2,149.69/3,223.58 = 744.24/x
  3. Step 3: Cross multiply
    2,149.69x = 3,223.58 × 744.24
  4. Step 4: Simplify right side
    2,149.69x = 2,399,128.34
  5. Step 5: Solve for x
    x = 2,399,128.34/2,149.69
  6. Step 6: Final answer
    x = 1,116.03

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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.