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Finding the Fourth Proportional to 2,021.16, 3,031.89 and 788.88

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Solution

The fourth proportional to 2,021.16, 3,031.89 and 788.88 is: 1,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.16 : 3,031.89 = 788.88 : x
  2. Step 2: Convert to fraction form
    2,021.16/3,031.89 = 788.88/x
  3. Step 3: Cross multiply
    2,021.16x = 3,031.89 × 788.88
  4. Step 4: Simplify right side
    2,021.16x = 2,391,797.38
  5. Step 5: Solve for x
    x = 2,391,797.38/2,021.16
  6. Step 6: Final answer
    x = 1,183.38

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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.