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Finding the Fourth Proportional to 1,344, 2,016.45 and 1,214.60

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Solution

The fourth proportional to 1,344, 2,016.45 and 1,214.60 is: 1,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344 : 2,016.45 = 1,214.60 : x
  2. Step 2: Convert to fraction form
    1,344/2,016.45 = 1,214.60/x
  3. Step 3: Cross multiply
    1,344x = 2,016.45 × 1,214.60
  4. Step 4: Simplify right side
    1,344x = 2,449,180.17
  5. Step 5: Solve for x
    x = 2,449,180.17/1,344
  6. Step 6: Final answer
    x = 1,822.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.