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Finding the Fourth Proportional to 3,091.46, 4,266.15 and 1,694.12

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Solution

The fourth proportional to 3,091.46, 4,266.15 and 1,694.12 is: 2,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.46 : 4,266.15 = 1,694.12 : x
  2. Step 2: Convert to fraction form
    3,091.46/4,266.15 = 1,694.12/x
  3. Step 3: Cross multiply
    3,091.46x = 4,266.15 × 1,694.12
  4. Step 4: Simplify right side
    3,091.46x = 7,227,370.04
  5. Step 5: Solve for x
    x = 7,227,370.04/3,091.46
  6. Step 6: Final answer
    x = 2,337.85

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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.