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Finding the Fourth Proportional to 1,660.09, 2,286.71 and 1,266.43

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Solution

The fourth proportional to 1,660.09, 2,286.71 and 1,266.43 is: 1,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.09 : 2,286.71 = 1,266.43 : x
  2. Step 2: Convert to fraction form
    1,660.09/2,286.71 = 1,266.43/x
  3. Step 3: Cross multiply
    1,660.09x = 2,286.71 × 1,266.43
  4. Step 4: Simplify right side
    1,660.09x = 2,895,951.81
  5. Step 5: Solve for x
    x = 2,895,951.81/1,660.09
  6. Step 6: Final answer
    x = 1,744.45

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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.