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Finding the Fourth Proportional to 1,721.12, 2,372.16 and 1,254.56

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Solution

The fourth proportional to 1,721.12, 2,372.16 and 1,254.56 is: 1,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.12 : 2,372.16 = 1,254.56 : x
  2. Step 2: Convert to fraction form
    1,721.12/2,372.16 = 1,254.56/x
  3. Step 3: Cross multiply
    1,721.12x = 2,372.16 × 1,254.56
  4. Step 4: Simplify right side
    1,721.12x = 2,976,017.05
  5. Step 5: Solve for x
    x = 2,976,017.05/1,721.12
  6. Step 6: Final answer
    x = 1,729.12

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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.