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Finding the Fourth Proportional to 2,206.26, 3,307.10 and 744.92

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Solution

The fourth proportional to 2,206.26, 3,307.10 and 744.92 is: 1,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.26 : 3,307.10 = 744.92 : x
  2. Step 2: Convert to fraction form
    2,206.26/3,307.10 = 744.92/x
  3. Step 3: Cross multiply
    2,206.26x = 3,307.10 × 744.92
  4. Step 4: Simplify right side
    2,206.26x = 2,463,524.93
  5. Step 5: Solve for x
    x = 2,463,524.93/2,206.26
  6. Step 6: Final answer
    x = 1,116.61

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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.