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Finding the Fourth Proportional to 2,766.44, 4,150.02 and 916.94

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Solution

The fourth proportional to 2,766.44, 4,150.02 and 916.94 is: 1,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.44 : 4,150.02 = 916.94 : x
  2. Step 2: Convert to fraction form
    2,766.44/4,150.02 = 916.94/x
  3. Step 3: Cross multiply
    2,766.44x = 4,150.02 × 916.94
  4. Step 4: Simplify right side
    2,766.44x = 3,805,319.34
  5. Step 5: Solve for x
    x = 3,805,319.34/2,766.44
  6. Step 6: Final answer
    x = 1,375.53

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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.