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Finding the Fourth Proportional to 2,712.97, 3,744.06 and 1,534.15

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Solution

The fourth proportional to 2,712.97, 3,744.06 and 1,534.15 is: 2,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.97 : 3,744.06 = 1,534.15 : x
  2. Step 2: Convert to fraction form
    2,712.97/3,744.06 = 1,534.15/x
  3. Step 3: Cross multiply
    2,712.97x = 3,744.06 × 1,534.15
  4. Step 4: Simplify right side
    2,712.97x = 5,743,949.65
  5. Step 5: Solve for x
    x = 5,743,949.65/2,712.97
  6. Step 6: Final answer
    x = 2,117.22

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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.