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Finding the Fourth Proportional to 3,198.66, 4,414.08 and 1,782.57

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Solution

The fourth proportional to 3,198.66, 4,414.08 and 1,782.57 is: 2,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.66 : 4,414.08 = 1,782.57 : x
  2. Step 2: Convert to fraction form
    3,198.66/4,414.08 = 1,782.57/x
  3. Step 3: Cross multiply
    3,198.66x = 4,414.08 × 1,782.57
  4. Step 4: Simplify right side
    3,198.66x = 7,868,406.59
  5. Step 5: Solve for x
    x = 7,868,406.59/3,198.66
  6. Step 6: Final answer
    x = 2,459.91

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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.