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Finding the Fourth Proportional to 2,734.49, 4,101.49 and 1,418.18

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Solution

The fourth proportional to 2,734.49, 4,101.49 and 1,418.18 is: 2,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.49 : 4,101.49 = 1,418.18 : x
  2. Step 2: Convert to fraction form
    2,734.49/4,101.49 = 1,418.18/x
  3. Step 3: Cross multiply
    2,734.49x = 4,101.49 × 1,418.18
  4. Step 4: Simplify right side
    2,734.49x = 5,816,651.09
  5. Step 5: Solve for x
    x = 5,816,651.09/2,734.49
  6. Step 6: Final answer
    x = 2,127.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.