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Finding the Fourth Proportional to 1,231.11, 1,847.43 and 683.66

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Solution

The fourth proportional to 1,231.11, 1,847.43 and 683.66 is: 1,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.11 : 1,847.43 = 683.66 : x
  2. Step 2: Convert to fraction form
    1,231.11/1,847.43 = 683.66/x
  3. Step 3: Cross multiply
    1,231.11x = 1,847.43 × 683.66
  4. Step 4: Simplify right side
    1,231.11x = 1,263,018.61
  5. Step 5: Solve for x
    x = 1,263,018.61/1,231.11
  6. Step 6: Final answer
    x = 1,025.92

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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.