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Finding the Fourth Proportional to 2,231.77, 3,347.97 and 845.62

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Solution

The fourth proportional to 2,231.77, 3,347.97 and 845.62 is: 1,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.77 : 3,347.97 = 845.62 : x
  2. Step 2: Convert to fraction form
    2,231.77/3,347.97 = 845.62/x
  3. Step 3: Cross multiply
    2,231.77x = 3,347.97 × 845.62
  4. Step 4: Simplify right side
    2,231.77x = 2,831,110.39
  5. Step 5: Solve for x
    x = 2,831,110.39/2,231.77
  6. Step 6: Final answer
    x = 1,268.55

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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.