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Finding the Fourth Proportional to 2,021.85, 3,032.17 and 788.93

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Solution

The fourth proportional to 2,021.85, 3,032.17 and 788.93 is: 1,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.85 : 3,032.17 = 788.93 : x
  2. Step 2: Convert to fraction form
    2,021.85/3,032.17 = 788.93/x
  3. Step 3: Cross multiply
    2,021.85x = 3,032.17 × 788.93
  4. Step 4: Simplify right side
    2,021.85x = 2,392,169.88
  5. Step 5: Solve for x
    x = 2,392,169.88/2,021.85
  6. Step 6: Final answer
    x = 1,183.16

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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.