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Finding the Fourth Proportional to 2,569.08, 3,850.02 and 2,022.33

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Solution

The fourth proportional to 2,569.08, 3,850.02 and 2,022.33 is: 3,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.08 : 3,850.02 = 2,022.33 : x
  2. Step 2: Convert to fraction form
    2,569.08/3,850.02 = 2,022.33/x
  3. Step 3: Cross multiply
    2,569.08x = 3,850.02 × 2,022.33
  4. Step 4: Simplify right side
    2,569.08x = 7,786,010.95
  5. Step 5: Solve for x
    x = 7,786,010.95/2,569.08
  6. Step 6: Final answer
    x = 3,030.66

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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.