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Finding the Fourth Proportional to 3,091.41, 4,266 and 2,209.32

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Solution

The fourth proportional to 3,091.41, 4,266 and 2,209.32 is: 3,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.41 : 4,266 = 2,209.32 : x
  2. Step 2: Convert to fraction form
    3,091.41/4,266 = 2,209.32/x
  3. Step 3: Cross multiply
    3,091.41x = 4,266 × 2,209.32
  4. Step 4: Simplify right side
    3,091.41x = 9,424,959.12
  5. Step 5: Solve for x
    x = 9,424,959.12/3,091.41
  6. Step 6: Final answer
    x = 3,048.76

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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.