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Finding the Fourth Proportional to 2,021.54, 3,032.37 and 788.90

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Solution

The fourth proportional to 2,021.54, 3,032.37 and 788.90 is: 1,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.54 : 3,032.37 = 788.90 : x
  2. Step 2: Convert to fraction form
    2,021.54/3,032.37 = 788.90/x
  3. Step 3: Cross multiply
    2,021.54x = 3,032.37 × 788.90
  4. Step 4: Simplify right side
    2,021.54x = 2,392,236.69
  5. Step 5: Solve for x
    x = 2,392,236.69/2,021.54
  6. Step 6: Final answer
    x = 1,183.37

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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.