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Finding the Fourth Proportional to 2,146.97, 2,962.61 and 1,215.47

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Solution

The fourth proportional to 2,146.97, 2,962.61 and 1,215.47 is: 1,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.97 : 2,962.61 = 1,215.47 : x
  2. Step 2: Convert to fraction form
    2,146.97/2,962.61 = 1,215.47/x
  3. Step 3: Cross multiply
    2,146.97x = 2,962.61 × 1,215.47
  4. Step 4: Simplify right side
    2,146.97x = 3,600,951.80
  5. Step 5: Solve for x
    x = 3,600,951.80/2,146.97
  6. Step 6: Final answer
    x = 1,677.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.