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Finding the Fourth Proportional to 1,387.97, 2,072.02 and 1,286.72

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Solution

The fourth proportional to 1,387.97, 2,072.02 and 1,286.72 is: 1,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.97 : 2,072.02 = 1,286.72 : x
  2. Step 2: Convert to fraction form
    1,387.97/2,072.02 = 1,286.72/x
  3. Step 3: Cross multiply
    1,387.97x = 2,072.02 × 1,286.72
  4. Step 4: Simplify right side
    1,387.97x = 2,666,111.54
  5. Step 5: Solve for x
    x = 2,666,111.54/1,387.97
  6. Step 6: Final answer
    x = 1,920.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.