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Finding the Fourth Proportional to 2,007.62, 3,012.56 and 1,083.14

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Solution

The fourth proportional to 2,007.62, 3,012.56 and 1,083.14 is: 1,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.62 : 3,012.56 = 1,083.14 : x
  2. Step 2: Convert to fraction form
    2,007.62/3,012.56 = 1,083.14/x
  3. Step 3: Cross multiply
    2,007.62x = 3,012.56 × 1,083.14
  4. Step 4: Simplify right side
    2,007.62x = 3,263,024.24
  5. Step 5: Solve for x
    x = 3,263,024.24/2,007.62
  6. Step 6: Final answer
    x = 1,625.32

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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.