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Finding the Fourth Proportional to 2,206.59, 3,310.25 and 745.26

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Solution

The fourth proportional to 2,206.59, 3,310.25 and 745.26 is: 1,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.59 : 3,310.25 = 745.26 : x
  2. Step 2: Convert to fraction form
    2,206.59/3,310.25 = 745.26/x
  3. Step 3: Cross multiply
    2,206.59x = 3,310.25 × 745.26
  4. Step 4: Simplify right side
    2,206.59x = 2,466,993.19
  5. Step 5: Solve for x
    x = 2,466,993.19/2,206.59
  6. Step 6: Final answer
    x = 1,118.01

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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.