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Finding the Fourth Proportional to 2,007.78, 3,012.81 and 1,083.32

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Solution

The fourth proportional to 2,007.78, 3,012.81 and 1,083.32 is: 1,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.78 : 3,012.81 = 1,083.32 : x
  2. Step 2: Convert to fraction form
    2,007.78/3,012.81 = 1,083.32/x
  3. Step 3: Cross multiply
    2,007.78x = 3,012.81 × 1,083.32
  4. Step 4: Simplify right side
    2,007.78x = 3,263,822.27
  5. Step 5: Solve for x
    x = 3,263,822.27/2,007.78
  6. Step 6: Final answer
    x = 1,625.59

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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.