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Finding the Fourth Proportional to 2,172.97, 2,997.59 and 1,374.95

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Solution

The fourth proportional to 2,172.97, 2,997.59 and 1,374.95 is: 1,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.97 : 2,997.59 = 1,374.95 : x
  2. Step 2: Convert to fraction form
    2,172.97/2,997.59 = 1,374.95/x
  3. Step 3: Cross multiply
    2,172.97x = 2,997.59 × 1,374.95
  4. Step 4: Simplify right side
    2,172.97x = 4,121,521.38
  5. Step 5: Solve for x
    x = 4,121,521.38/2,172.97
  6. Step 6: Final answer
    x = 1,896.72

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Why These Related Problems?

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