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Finding the Fourth Proportional to 2,206.69, 3,045.11 and 1,211.97

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Solution

The fourth proportional to 2,206.69, 3,045.11 and 1,211.97 is: 1,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.69 : 3,045.11 = 1,211.97 : x
  2. Step 2: Convert to fraction form
    2,206.69/3,045.11 = 1,211.97/x
  3. Step 3: Cross multiply
    2,206.69x = 3,045.11 × 1,211.97
  4. Step 4: Simplify right side
    2,206.69x = 3,690,585.00
  5. Step 5: Solve for x
    x = 3,690,585.00/2,206.69
  6. Step 6: Final answer
    x = 1,672.45

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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.