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Finding the Fourth Proportional to 1,766.72, 2,438.01 and 980.79

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Solution

The fourth proportional to 1,766.72, 2,438.01 and 980.79 is: 1,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.72 : 2,438.01 = 980.79 : x
  2. Step 2: Convert to fraction form
    1,766.72/2,438.01 = 980.79/x
  3. Step 3: Cross multiply
    1,766.72x = 2,438.01 × 980.79
  4. Step 4: Simplify right side
    1,766.72x = 2,391,175.83
  5. Step 5: Solve for x
    x = 2,391,175.83/1,766.72
  6. Step 6: Final answer
    x = 1,353.46

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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.