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Finding the Fourth Proportional to 2,644.26, 3,963.96 and 1,412.52

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Solution

The fourth proportional to 2,644.26, 3,963.96 and 1,412.52 is: 2,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.26 : 3,963.96 = 1,412.52 : x
  2. Step 2: Convert to fraction form
    2,644.26/3,963.96 = 1,412.52/x
  3. Step 3: Cross multiply
    2,644.26x = 3,963.96 × 1,412.52
  4. Step 4: Simplify right side
    2,644.26x = 5,599,172.78
  5. Step 5: Solve for x
    x = 5,599,172.78/2,644.26
  6. Step 6: Final answer
    x = 2,117.48

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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.