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Finding the Fourth Proportional to 1,972.13, 2,721.56 and 1,375.49

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Solution

The fourth proportional to 1,972.13, 2,721.56 and 1,375.49 is: 1,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.13 : 2,721.56 = 1,375.49 : x
  2. Step 2: Convert to fraction form
    1,972.13/2,721.56 = 1,375.49/x
  3. Step 3: Cross multiply
    1,972.13x = 2,721.56 × 1,375.49
  4. Step 4: Simplify right side
    1,972.13x = 3,743,478.49
  5. Step 5: Solve for x
    x = 3,743,478.49/1,972.13
  6. Step 6: Final answer
    x = 1,898.20

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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.