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Finding the Fourth Proportional to 2,278.32, 3,417.56 and 817.68

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Solution

The fourth proportional to 2,278.32, 3,417.56 and 817.68 is: 1,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.32 : 3,417.56 = 817.68 : x
  2. Step 2: Convert to fraction form
    2,278.32/3,417.56 = 817.68/x
  3. Step 3: Cross multiply
    2,278.32x = 3,417.56 × 817.68
  4. Step 4: Simplify right side
    2,278.32x = 2,794,470.46
  5. Step 5: Solve for x
    x = 2,794,470.46/2,278.32
  6. Step 6: Final answer
    x = 1,226.55

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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.