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Finding the Fourth Proportional to 1,326.57, 1,832.52 and 1,228.15

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Solution

The fourth proportional to 1,326.57, 1,832.52 and 1,228.15 is: 1,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.57 : 1,832.52 = 1,228.15 : x
  2. Step 2: Convert to fraction form
    1,326.57/1,832.52 = 1,228.15/x
  3. Step 3: Cross multiply
    1,326.57x = 1,832.52 × 1,228.15
  4. Step 4: Simplify right side
    1,326.57x = 2,250,609.44
  5. Step 5: Solve for x
    x = 2,250,609.44/1,326.57
  6. Step 6: Final answer
    x = 1,696.56

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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.