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Finding the Fourth Proportional to 2,181.33, 3,007.44 and 1,296.81

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Solution

The fourth proportional to 2,181.33, 3,007.44 and 1,296.81 is: 1,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.33 : 3,007.44 = 1,296.81 : x
  2. Step 2: Convert to fraction form
    2,181.33/3,007.44 = 1,296.81/x
  3. Step 3: Cross multiply
    2,181.33x = 3,007.44 × 1,296.81
  4. Step 4: Simplify right side
    2,181.33x = 3,900,078.27
  5. Step 5: Solve for x
    x = 3,900,078.27/2,181.33
  6. Step 6: Final answer
    x = 1,787.94

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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.