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Finding the Fourth Proportional to 2,263.80, 3,396.98 and 1,223.79

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Solution

The fourth proportional to 2,263.80, 3,396.98 and 1,223.79 is: 1,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.80 : 3,396.98 = 1,223.79 : x
  2. Step 2: Convert to fraction form
    2,263.80/3,396.98 = 1,223.79/x
  3. Step 3: Cross multiply
    2,263.80x = 3,396.98 × 1,223.79
  4. Step 4: Simplify right side
    2,263.80x = 4,157,190.15
  5. Step 5: Solve for x
    x = 4,157,190.15/2,263.80
  6. Step 6: Final answer
    x = 1,836.38

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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.