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Finding the Fourth Proportional to 2,206.28, 3,309.68 and 745.64

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Solution

The fourth proportional to 2,206.28, 3,309.68 and 745.64 is: 1,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.28 : 3,309.68 = 745.64 : x
  2. Step 2: Convert to fraction form
    2,206.28/3,309.68 = 745.64/x
  3. Step 3: Cross multiply
    2,206.28x = 3,309.68 × 745.64
  4. Step 4: Simplify right side
    2,206.28x = 2,467,829.80
  5. Step 5: Solve for x
    x = 2,467,829.80/2,206.28
  6. Step 6: Final answer
    x = 1,118.55

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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.