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Finding the Fourth Proportional to 2,236.74, 3,355.11 and 775.91

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Solution

The fourth proportional to 2,236.74, 3,355.11 and 775.91 is: 1,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.74 : 3,355.11 = 775.91 : x
  2. Step 2: Convert to fraction form
    2,236.74/3,355.11 = 775.91/x
  3. Step 3: Cross multiply
    2,236.74x = 3,355.11 × 775.91
  4. Step 4: Simplify right side
    2,236.74x = 2,603,263.40
  5. Step 5: Solve for x
    x = 2,603,263.40/2,236.74
  6. Step 6: Final answer
    x = 1,163.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.