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Finding the Fourth Proportional to 2,193.54, 3,289.25 and 1,023.27

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Solution

The fourth proportional to 2,193.54, 3,289.25 and 1,023.27 is: 1,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.54 : 3,289.25 = 1,023.27 : x
  2. Step 2: Convert to fraction form
    2,193.54/3,289.25 = 1,023.27/x
  3. Step 3: Cross multiply
    2,193.54x = 3,289.25 × 1,023.27
  4. Step 4: Simplify right side
    2,193.54x = 3,365,785.73
  5. Step 5: Solve for x
    x = 3,365,785.73/2,193.54
  6. Step 6: Final answer
    x = 1,534.41

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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.