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Finding the Fourth Proportional to 2,644.48, 3,962.56 and 1,344.16

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Solution

The fourth proportional to 2,644.48, 3,962.56 and 1,344.16 is: 2,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.48 : 3,962.56 = 1,344.16 : x
  2. Step 2: Convert to fraction form
    2,644.48/3,962.56 = 1,344.16/x
  3. Step 3: Cross multiply
    2,644.48x = 3,962.56 × 1,344.16
  4. Step 4: Simplify right side
    2,644.48x = 5,326,314.65
  5. Step 5: Solve for x
    x = 5,326,314.65/2,644.48
  6. Step 6: Final answer
    x = 2,014.13

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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.