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Finding the Fourth Proportional to 1,223.42, 1,824.24 and 1,208.30

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Solution

The fourth proportional to 1,223.42, 1,824.24 and 1,208.30 is: 1,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.42 : 1,824.24 = 1,208.30 : x
  2. Step 2: Convert to fraction form
    1,223.42/1,824.24 = 1,208.30/x
  3. Step 3: Cross multiply
    1,223.42x = 1,824.24 × 1,208.30
  4. Step 4: Simplify right side
    1,223.42x = 2,204,223.15
  5. Step 5: Solve for x
    x = 2,204,223.15/1,223.42
  6. Step 6: Final answer
    x = 1,801.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.