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Finding the Fourth Proportional to 1,227.61, 1,843.46 and 1,023.79

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Solution

The fourth proportional to 1,227.61, 1,843.46 and 1,023.79 is: 1,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.61 : 1,843.46 = 1,023.79 : x
  2. Step 2: Convert to fraction form
    1,227.61/1,843.46 = 1,023.79/x
  3. Step 3: Cross multiply
    1,227.61x = 1,843.46 × 1,023.79
  4. Step 4: Simplify right side
    1,227.61x = 1,887,313.48
  5. Step 5: Solve for x
    x = 1,887,313.48/1,227.61
  6. Step 6: Final answer
    x = 1,537.39

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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.