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Finding the Fourth Proportional to 1,614, 2,227.36 and 878

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Solution

The fourth proportional to 1,614, 2,227.36 and 878 is: 1,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614 : 2,227.36 = 878 : x
  2. Step 2: Convert to fraction form
    1,614/2,227.36 = 878/x
  3. Step 3: Cross multiply
    1,614x = 2,227.36 × 878
  4. Step 4: Simplify right side
    1,614x = 1,955,622.08
  5. Step 5: Solve for x
    x = 1,955,622.08/1,614
  6. Step 6: Final answer
    x = 1,211.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.