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Finding the Fourth Proportional to 1,427.27, 1,957.05 and 1,286.82

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Solution

The fourth proportional to 1,427.27, 1,957.05 and 1,286.82 is: 1,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.27 : 1,957.05 = 1,286.82 : x
  2. Step 2: Convert to fraction form
    1,427.27/1,957.05 = 1,286.82/x
  3. Step 3: Cross multiply
    1,427.27x = 1,957.05 × 1,286.82
  4. Step 4: Simplify right side
    1,427.27x = 2,518,371.08
  5. Step 5: Solve for x
    x = 2,518,371.08/1,427.27
  6. Step 6: Final answer
    x = 1,764.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.