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Finding the Fourth Proportional to 2,179.49, 3,264.98 and 1,741.66

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Solution

The fourth proportional to 2,179.49, 3,264.98 and 1,741.66 is: 2,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.49 : 3,264.98 = 1,741.66 : x
  2. Step 2: Convert to fraction form
    2,179.49/3,264.98 = 1,741.66/x
  3. Step 3: Cross multiply
    2,179.49x = 3,264.98 × 1,741.66
  4. Step 4: Simplify right side
    2,179.49x = 5,686,481.26
  5. Step 5: Solve for x
    x = 5,686,481.26/2,179.49
  6. Step 6: Final answer
    x = 2,609.09

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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.