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Finding the Fourth Proportional to 2,206.71, 3,308.46 and 1,036.11

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Solution

The fourth proportional to 2,206.71, 3,308.46 and 1,036.11 is: 1,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.71 : 3,308.46 = 1,036.11 : x
  2. Step 2: Convert to fraction form
    2,206.71/3,308.46 = 1,036.11/x
  3. Step 3: Cross multiply
    2,206.71x = 3,308.46 × 1,036.11
  4. Step 4: Simplify right side
    2,206.71x = 3,427,906.77
  5. Step 5: Solve for x
    x = 3,427,906.77/2,206.71
  6. Step 6: Final answer
    x = 1,553.41

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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.