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Finding the Fourth Proportional to 2,766.82, 4,148.49 and 917.45

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Solution

The fourth proportional to 2,766.82, 4,148.49 and 917.45 is: 1,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.82 : 4,148.49 = 917.45 : x
  2. Step 2: Convert to fraction form
    2,766.82/4,148.49 = 917.45/x
  3. Step 3: Cross multiply
    2,766.82x = 4,148.49 × 917.45
  4. Step 4: Simplify right side
    2,766.82x = 3,806,032.15
  5. Step 5: Solve for x
    x = 3,806,032.15/2,766.82
  6. Step 6: Final answer
    x = 1,375.60

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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.