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Finding the Fourth Proportional to 1,339.44, 2,009.31 and 1,201.64

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Solution

The fourth proportional to 1,339.44, 2,009.31 and 1,201.64 is: 1,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.44 : 2,009.31 = 1,201.64 : x
  2. Step 2: Convert to fraction form
    1,339.44/2,009.31 = 1,201.64/x
  3. Step 3: Cross multiply
    1,339.44x = 2,009.31 × 1,201.64
  4. Step 4: Simplify right side
    1,339.44x = 2,414,452.72
  5. Step 5: Solve for x
    x = 2,414,452.72/1,339.44
  6. Step 6: Final answer
    x = 1,802.59

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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.