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Finding the Fourth Proportional to 2,023.19, 3,032.47 and 789.93

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Solution

The fourth proportional to 2,023.19, 3,032.47 and 789.93 is: 1,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.19 : 3,032.47 = 789.93 : x
  2. Step 2: Convert to fraction form
    2,023.19/3,032.47 = 789.93/x
  3. Step 3: Cross multiply
    2,023.19x = 3,032.47 × 789.93
  4. Step 4: Simplify right side
    2,023.19x = 2,395,439.03
  5. Step 5: Solve for x
    x = 2,395,439.03/2,023.19
  6. Step 6: Final answer
    x = 1,183.99

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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.