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Finding the Fourth Proportional to 2,228.81, 3,343.62 and 1,255.46

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Solution

The fourth proportional to 2,228.81, 3,343.62 and 1,255.46 is: 1,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.81 : 3,343.62 = 1,255.46 : x
  2. Step 2: Convert to fraction form
    2,228.81/3,343.62 = 1,255.46/x
  3. Step 3: Cross multiply
    2,228.81x = 3,343.62 × 1,255.46
  4. Step 4: Simplify right side
    2,228.81x = 4,197,781.17
  5. Step 5: Solve for x
    x = 4,197,781.17/2,228.81
  6. Step 6: Final answer
    x = 1,883.42

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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.