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Finding the Fourth Proportional to 2,077.76, 3,115.41 and 779.33

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Solution

The fourth proportional to 2,077.76, 3,115.41 and 779.33 is: 1,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.76 : 3,115.41 = 779.33 : x
  2. Step 2: Convert to fraction form
    2,077.76/3,115.41 = 779.33/x
  3. Step 3: Cross multiply
    2,077.76x = 3,115.41 × 779.33
  4. Step 4: Simplify right side
    2,077.76x = 2,427,916.90
  5. Step 5: Solve for x
    x = 2,427,916.90/2,077.76
  6. Step 6: Final answer
    x = 1,168.53

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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.