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Finding the Fourth Proportional to 1,660.40, 2,290.77 and 997.13

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Solution

The fourth proportional to 1,660.40, 2,290.77 and 997.13 is: 1,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.40 : 2,290.77 = 997.13 : x
  2. Step 2: Convert to fraction form
    1,660.40/2,290.77 = 997.13/x
  3. Step 3: Cross multiply
    1,660.40x = 2,290.77 × 997.13
  4. Step 4: Simplify right side
    1,660.40x = 2,284,184.04
  5. Step 5: Solve for x
    x = 2,284,184.04/1,660.40
  6. Step 6: Final answer
    x = 1,375.68

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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.