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Finding the Fourth Proportional to 3,201.26, 4,417.78 and 1,959.26

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Solution

The fourth proportional to 3,201.26, 4,417.78 and 1,959.26 is: 2,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.26 : 4,417.78 = 1,959.26 : x
  2. Step 2: Convert to fraction form
    3,201.26/4,417.78 = 1,959.26/x
  3. Step 3: Cross multiply
    3,201.26x = 4,417.78 × 1,959.26
  4. Step 4: Simplify right side
    3,201.26x = 8,655,579.64
  5. Step 5: Solve for x
    x = 8,655,579.64/3,201.26
  6. Step 6: Final answer
    x = 2,703.80

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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.