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Finding the Fourth Proportional to 1,228.48, 1,843.44 and 881.44

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Solution

The fourth proportional to 1,228.48, 1,843.44 and 881.44 is: 1,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.48 : 1,843.44 = 881.44 : x
  2. Step 2: Convert to fraction form
    1,228.48/1,843.44 = 881.44/x
  3. Step 3: Cross multiply
    1,228.48x = 1,843.44 × 881.44
  4. Step 4: Simplify right side
    1,228.48x = 1,624,881.75
  5. Step 5: Solve for x
    x = 1,624,881.75/1,228.48
  6. Step 6: Final answer
    x = 1,322.68

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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.