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Finding the Fourth Proportional to 1,766.29, 2,630.44 and 1,660.18

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Solution

The fourth proportional to 1,766.29, 2,630.44 and 1,660.18 is: 2,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.29 : 2,630.44 = 1,660.18 : x
  2. Step 2: Convert to fraction form
    1,766.29/2,630.44 = 1,660.18/x
  3. Step 3: Cross multiply
    1,766.29x = 2,630.44 × 1,660.18
  4. Step 4: Simplify right side
    1,766.29x = 4,367,008.40
  5. Step 5: Solve for x
    x = 4,367,008.40/1,766.29
  6. Step 6: Final answer
    x = 2,472.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.