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Finding the Fourth Proportional to 2,278.65, 3,419.06 and 817.95

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Solution

The fourth proportional to 2,278.65, 3,419.06 and 817.95 is: 1,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.65 : 3,419.06 = 817.95 : x
  2. Step 2: Convert to fraction form
    2,278.65/3,419.06 = 817.95/x
  3. Step 3: Cross multiply
    2,278.65x = 3,419.06 × 817.95
  4. Step 4: Simplify right side
    2,278.65x = 2,796,620.13
  5. Step 5: Solve for x
    x = 2,796,620.13/2,278.65
  6. Step 6: Final answer
    x = 1,227.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.