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Finding the Fourth Proportional to 3,180.33, 4,773.24 and 1,233.90

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Solution

The fourth proportional to 3,180.33, 4,773.24 and 1,233.90 is: 1,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.33 : 4,773.24 = 1,233.90 : x
  2. Step 2: Convert to fraction form
    3,180.33/4,773.24 = 1,233.90/x
  3. Step 3: Cross multiply
    3,180.33x = 4,773.24 × 1,233.90
  4. Step 4: Simplify right side
    3,180.33x = 5,889,700.84
  5. Step 5: Solve for x
    x = 5,889,700.84/3,180.33
  6. Step 6: Final answer
    x = 1,851.92

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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.