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Finding the Fourth Proportional to 2,177.44, 3,260.52 and 1,201.52

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Solution

The fourth proportional to 2,177.44, 3,260.52 and 1,201.52 is: 1,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.44 : 3,260.52 = 1,201.52 : x
  2. Step 2: Convert to fraction form
    2,177.44/3,260.52 = 1,201.52/x
  3. Step 3: Cross multiply
    2,177.44x = 3,260.52 × 1,201.52
  4. Step 4: Simplify right side
    2,177.44x = 3,917,579.99
  5. Step 5: Solve for x
    x = 3,917,579.99/2,177.44
  6. Step 6: Final answer
    x = 1,799.17

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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.