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Finding the Fourth Proportional to 2,218.88, 3,326.49 and 1,178.24

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Solution

The fourth proportional to 2,218.88, 3,326.49 and 1,178.24 is: 1,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.88 : 3,326.49 = 1,178.24 : x
  2. Step 2: Convert to fraction form
    2,218.88/3,326.49 = 1,178.24/x
  3. Step 3: Cross multiply
    2,218.88x = 3,326.49 × 1,178.24
  4. Step 4: Simplify right side
    2,218.88x = 3,919,386.95
  5. Step 5: Solve for x
    x = 3,919,386.95/2,218.88
  6. Step 6: Final answer
    x = 1,766.38

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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.