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Finding the Fourth Proportional to 1,336.80, 1,842.48 and 1,227.36

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Solution

The fourth proportional to 1,336.80, 1,842.48 and 1,227.36 is: 1,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.80 : 1,842.48 = 1,227.36 : x
  2. Step 2: Convert to fraction form
    1,336.80/1,842.48 = 1,227.36/x
  3. Step 3: Cross multiply
    1,336.80x = 1,842.48 × 1,227.36
  4. Step 4: Simplify right side
    1,336.80x = 2,261,386.25
  5. Step 5: Solve for x
    x = 2,261,386.25/1,336.80
  6. Step 6: Final answer
    x = 1,691.64

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