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Finding the Fourth Proportional to 1,660.97, 2,491.45 and 921.04

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Solution

The fourth proportional to 1,660.97, 2,491.45 and 921.04 is: 1,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.97 : 2,491.45 = 921.04 : x
  2. Step 2: Convert to fraction form
    1,660.97/2,491.45 = 921.04/x
  3. Step 3: Cross multiply
    1,660.97x = 2,491.45 × 921.04
  4. Step 4: Simplify right side
    1,660.97x = 2,294,716.58
  5. Step 5: Solve for x
    x = 2,294,716.58/1,660.97
  6. Step 6: Final answer
    x = 1,381.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.