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Finding the Fourth Proportional to 1,766.89, 2,438.42 and 1,020.88

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Solution

The fourth proportional to 1,766.89, 2,438.42 and 1,020.88 is: 1,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.89 : 2,438.42 = 1,020.88 : x
  2. Step 2: Convert to fraction form
    1,766.89/2,438.42 = 1,020.88/x
  3. Step 3: Cross multiply
    1,766.89x = 2,438.42 × 1,020.88
  4. Step 4: Simplify right side
    1,766.89x = 2,489,329.11
  5. Step 5: Solve for x
    x = 2,489,329.11/1,766.89
  6. Step 6: Final answer
    x = 1,408.88

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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.