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Finding the Fourth Proportional to 2,087.97, 2,877.89 and 1,666.97

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Solution

The fourth proportional to 2,087.97, 2,877.89 and 1,666.97 is: 2,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.97 : 2,877.89 = 1,666.97 : x
  2. Step 2: Convert to fraction form
    2,087.97/2,877.89 = 1,666.97/x
  3. Step 3: Cross multiply
    2,087.97x = 2,877.89 × 1,666.97
  4. Step 4: Simplify right side
    2,087.97x = 4,797,356.29
  5. Step 5: Solve for x
    x = 4,797,356.29/2,087.97
  6. Step 6: Final answer
    x = 2,297.62

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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.