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Finding the Fourth Proportional to 2,206.26, 3,309.40 and 725.46

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Solution

The fourth proportional to 2,206.26, 3,309.40 and 725.46 is: 1,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.26 : 3,309.40 = 725.46 : x
  2. Step 2: Convert to fraction form
    2,206.26/3,309.40 = 725.46/x
  3. Step 3: Cross multiply
    2,206.26x = 3,309.40 × 725.46
  4. Step 4: Simplify right side
    2,206.26x = 2,400,837.32
  5. Step 5: Solve for x
    x = 2,400,837.32/2,206.26
  6. Step 6: Final answer
    x = 1,088.19

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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.