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Finding the Fourth Proportional to 3,181.40, 4,773.84 and 1,233.68

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Solution

The fourth proportional to 3,181.40, 4,773.84 and 1,233.68 is: 1,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.40 : 4,773.84 = 1,233.68 : x
  2. Step 2: Convert to fraction form
    3,181.40/4,773.84 = 1,233.68/x
  3. Step 3: Cross multiply
    3,181.40x = 4,773.84 × 1,233.68
  4. Step 4: Simplify right side
    3,181.40x = 5,889,390.93
  5. Step 5: Solve for x
    x = 5,889,390.93/3,181.40
  6. Step 6: Final answer
    x = 1,851.19

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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.