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Finding the Fourth Proportional to 2,181.17, 3,009.98 and 1,296.97

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Solution

The fourth proportional to 2,181.17, 3,009.98 and 1,296.97 is: 1,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.17 : 3,009.98 = 1,296.97 : x
  2. Step 2: Convert to fraction form
    2,181.17/3,009.98 = 1,296.97/x
  3. Step 3: Cross multiply
    2,181.17x = 3,009.98 × 1,296.97
  4. Step 4: Simplify right side
    2,181.17x = 3,903,849.48
  5. Step 5: Solve for x
    x = 3,903,849.48/2,181.17
  6. Step 6: Final answer
    x = 1,789.79

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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.