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Finding the Fourth Proportional to 2,021.30, 3,032.13 and 788.81

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Solution

The fourth proportional to 2,021.30, 3,032.13 and 788.81 is: 1,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.30 : 3,032.13 = 788.81 : x
  2. Step 2: Convert to fraction form
    2,021.30/3,032.13 = 788.81/x
  3. Step 3: Cross multiply
    2,021.30x = 3,032.13 × 788.81
  4. Step 4: Simplify right side
    2,021.30x = 2,391,759.30
  5. Step 5: Solve for x
    x = 2,391,759.30/2,021.30
  6. Step 6: Final answer
    x = 1,183.28

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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.