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Finding the Fourth Proportional to 2,021.05, 2,788.92 and 1,136.88

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Solution

The fourth proportional to 2,021.05, 2,788.92 and 1,136.88 is: 1,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.05 : 2,788.92 = 1,136.88 : x
  2. Step 2: Convert to fraction form
    2,021.05/2,788.92 = 1,136.88/x
  3. Step 3: Cross multiply
    2,021.05x = 2,788.92 × 1,136.88
  4. Step 4: Simplify right side
    2,021.05x = 3,170,653.43
  5. Step 5: Solve for x
    x = 3,170,653.43/2,021.05
  6. Step 6: Final answer
    x = 1,568.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.