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Finding the Fourth Proportional to 2,206.40, 3,309.02 and 745.26

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Solution

The fourth proportional to 2,206.40, 3,309.02 and 745.26 is: 1,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.40 : 3,309.02 = 745.26 : x
  2. Step 2: Convert to fraction form
    2,206.40/3,309.02 = 745.26/x
  3. Step 3: Cross multiply
    2,206.40x = 3,309.02 × 745.26
  4. Step 4: Simplify right side
    2,206.40x = 2,466,080.25
  5. Step 5: Solve for x
    x = 2,466,080.25/2,206.40
  6. Step 6: Final answer
    x = 1,117.69

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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.