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Finding the Fourth Proportional to 2,180.92, 3,008.67 and 1,296.22

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Solution

The fourth proportional to 2,180.92, 3,008.67 and 1,296.22 is: 1,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.92 : 3,008.67 = 1,296.22 : x
  2. Step 2: Convert to fraction form
    2,180.92/3,008.67 = 1,296.22/x
  3. Step 3: Cross multiply
    2,180.92x = 3,008.67 × 1,296.22
  4. Step 4: Simplify right side
    2,180.92x = 3,899,898.23
  5. Step 5: Solve for x
    x = 3,899,898.23/2,180.92
  6. Step 6: Final answer
    x = 1,788.19

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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.