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Finding the Fourth Proportional to 2,208.36, 3,311.74 and 747.12

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Solution

The fourth proportional to 2,208.36, 3,311.74 and 747.12 is: 1,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.36 : 3,311.74 = 747.12 : x
  2. Step 2: Convert to fraction form
    2,208.36/3,311.74 = 747.12/x
  3. Step 3: Cross multiply
    2,208.36x = 3,311.74 × 747.12
  4. Step 4: Simplify right side
    2,208.36x = 2,474,267.19
  5. Step 5: Solve for x
    x = 2,474,267.19/2,208.36
  6. Step 6: Final answer
    x = 1,120.41

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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.