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Finding the Fourth Proportional to 2,229.88, 3,074.31 and 1,918.49

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Solution

The fourth proportional to 2,229.88, 3,074.31 and 1,918.49 is: 2,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.88 : 3,074.31 = 1,918.49 : x
  2. Step 2: Convert to fraction form
    2,229.88/3,074.31 = 1,918.49/x
  3. Step 3: Cross multiply
    2,229.88x = 3,074.31 × 1,918.49
  4. Step 4: Simplify right side
    2,229.88x = 5,898,022.42
  5. Step 5: Solve for x
    x = 5,898,022.42/2,229.88
  6. Step 6: Final answer
    x = 2,645.00

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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.