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Finding the Fourth Proportional to 2,278.15, 3,418.79 and 797.38

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Solution

The fourth proportional to 2,278.15, 3,418.79 and 797.38 is: 1,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.15 : 3,418.79 = 797.38 : x
  2. Step 2: Convert to fraction form
    2,278.15/3,418.79 = 797.38/x
  3. Step 3: Cross multiply
    2,278.15x = 3,418.79 × 797.38
  4. Step 4: Simplify right side
    2,278.15x = 2,726,062.24
  5. Step 5: Solve for x
    x = 2,726,062.24/2,278.15
  6. Step 6: Final answer
    x = 1,196.61

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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.