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Finding the Fourth Proportional to 2,207.04, 3,310.20 and 745.98

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Solution

The fourth proportional to 2,207.04, 3,310.20 and 745.98 is: 1,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.04 : 3,310.20 = 745.98 : x
  2. Step 2: Convert to fraction form
    2,207.04/3,310.20 = 745.98/x
  3. Step 3: Cross multiply
    2,207.04x = 3,310.20 × 745.98
  4. Step 4: Simplify right side
    2,207.04x = 2,469,343.00
  5. Step 5: Solve for x
    x = 2,469,343.00/2,207.04
  6. Step 6: Final answer
    x = 1,118.85

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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.