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Finding the Fourth Proportional to 2,206.18, 3,309.75 and 745.27

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Solution

The fourth proportional to 2,206.18, 3,309.75 and 745.27 is: 1,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.18 : 3,309.75 = 745.27 : x
  2. Step 2: Convert to fraction form
    2,206.18/3,309.75 = 745.27/x
  3. Step 3: Cross multiply
    2,206.18x = 3,309.75 × 745.27
  4. Step 4: Simplify right side
    2,206.18x = 2,466,657.38
  5. Step 5: Solve for x
    x = 2,466,657.38/2,206.18
  6. Step 6: Final answer
    x = 1,118.07

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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.