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Finding the Fourth Proportional to 2,032.78, 2,805.22 and 1,136.54

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Solution

The fourth proportional to 2,032.78, 2,805.22 and 1,136.54 is: 1,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.78 : 2,805.22 = 1,136.54 : x
  2. Step 2: Convert to fraction form
    2,032.78/2,805.22 = 1,136.54/x
  3. Step 3: Cross multiply
    2,032.78x = 2,805.22 × 1,136.54
  4. Step 4: Simplify right side
    2,032.78x = 3,188,244.74
  5. Step 5: Solve for x
    x = 3,188,244.74/2,032.78
  6. Step 6: Final answer
    x = 1,568.42

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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.