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Finding the Fourth Proportional to 2,443.52, 3,664.56 and 1,193.34

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Solution

The fourth proportional to 2,443.52, 3,664.56 and 1,193.34 is: 1,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.52 : 3,664.56 = 1,193.34 : x
  2. Step 2: Convert to fraction form
    2,443.52/3,664.56 = 1,193.34/x
  3. Step 3: Cross multiply
    2,443.52x = 3,664.56 × 1,193.34
  4. Step 4: Simplify right side
    2,443.52x = 4,373,050.69
  5. Step 5: Solve for x
    x = 4,373,050.69/2,443.52
  6. Step 6: Final answer
    x = 1,789.66

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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.