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Finding the Fourth Proportional to 3,452.66, 4,764.77 and 1,960.29

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Solution

The fourth proportional to 3,452.66, 4,764.77 and 1,960.29 is: 2,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.66 : 4,764.77 = 1,960.29 : x
  2. Step 2: Convert to fraction form
    3,452.66/4,764.77 = 1,960.29/x
  3. Step 3: Cross multiply
    3,452.66x = 4,764.77 × 1,960.29
  4. Step 4: Simplify right side
    3,452.66x = 9,340,321.18
  5. Step 5: Solve for x
    x = 9,340,321.18/3,452.66
  6. Step 6: Final answer
    x = 2,705.26

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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.