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Finding the Fourth Proportional to 1,231.54, 1,845.86 and 1,217.84

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Solution

The fourth proportional to 1,231.54, 1,845.86 and 1,217.84 is: 1,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.54 : 1,845.86 = 1,217.84 : x
  2. Step 2: Convert to fraction form
    1,231.54/1,845.86 = 1,217.84/x
  3. Step 3: Cross multiply
    1,231.54x = 1,845.86 × 1,217.84
  4. Step 4: Simplify right side
    1,231.54x = 2,247,946.82
  5. Step 5: Solve for x
    x = 2,247,946.82/1,231.54
  6. Step 6: Final answer
    x = 1,825.32

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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.