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Finding the Fourth Proportional to 2,278.18, 3,418.38 and 817.45

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Solution

The fourth proportional to 2,278.18, 3,418.38 and 817.45 is: 1,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.18 : 3,418.38 = 817.45 : x
  2. Step 2: Convert to fraction form
    2,278.18/3,418.38 = 817.45/x
  3. Step 3: Cross multiply
    2,278.18x = 3,418.38 × 817.45
  4. Step 4: Simplify right side
    2,278.18x = 2,794,354.73
  5. Step 5: Solve for x
    x = 2,794,354.73/2,278.18
  6. Step 6: Final answer
    x = 1,226.57

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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.