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Finding the Fourth Proportional to 2,184.67, 3,013.84 and 1,299.97

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Solution

The fourth proportional to 2,184.67, 3,013.84 and 1,299.97 is: 1,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.67 : 3,013.84 = 1,299.97 : x
  2. Step 2: Convert to fraction form
    2,184.67/3,013.84 = 1,299.97/x
  3. Step 3: Cross multiply
    2,184.67x = 3,013.84 × 1,299.97
  4. Step 4: Simplify right side
    2,184.67x = 3,917,901.58
  5. Step 5: Solve for x
    x = 3,917,901.58/2,184.67
  6. Step 6: Final answer
    x = 1,793.36

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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.