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Finding the Fourth Proportional to 2,278.76, 3,418.31 and 817.93

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Solution

The fourth proportional to 2,278.76, 3,418.31 and 817.93 is: 1,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.76 : 3,418.31 = 817.93 : x
  2. Step 2: Convert to fraction form
    2,278.76/3,418.31 = 817.93/x
  3. Step 3: Cross multiply
    2,278.76x = 3,418.31 × 817.93
  4. Step 4: Simplify right side
    2,278.76x = 2,795,919.16
  5. Step 5: Solve for x
    x = 2,795,919.16/2,278.76
  6. Step 6: Final answer
    x = 1,226.95

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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.