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Finding the Fourth Proportional to 1,219.36, 1,824.72 and 1,127.56

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Solution

The fourth proportional to 1,219.36, 1,824.72 and 1,127.56 is: 1,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.36 : 1,824.72 = 1,127.56 : x
  2. Step 2: Convert to fraction form
    1,219.36/1,824.72 = 1,127.56/x
  3. Step 3: Cross multiply
    1,219.36x = 1,824.72 × 1,127.56
  4. Step 4: Simplify right side
    1,219.36x = 2,057,481.28
  5. Step 5: Solve for x
    x = 2,057,481.28/1,219.36
  6. Step 6: Final answer
    x = 1,687.35

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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.