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Finding the Fourth Proportional to 1,687.71, 2,327.89 and 1,466.27

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Solution

The fourth proportional to 1,687.71, 2,327.89 and 1,466.27 is: 2,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.71 : 2,327.89 = 1,466.27 : x
  2. Step 2: Convert to fraction form
    1,687.71/2,327.89 = 1,466.27/x
  3. Step 3: Cross multiply
    1,687.71x = 2,327.89 × 1,466.27
  4. Step 4: Simplify right side
    1,687.71x = 3,413,315.27
  5. Step 5: Solve for x
    x = 3,413,315.27/1,687.71
  6. Step 6: Final answer
    x = 2,022.45

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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.