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Finding the Fourth Proportional to 2,007.45, 3,008.61 and 1,083.38

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Solution

The fourth proportional to 2,007.45, 3,008.61 and 1,083.38 is: 1,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.45 : 3,008.61 = 1,083.38 : x
  2. Step 2: Convert to fraction form
    2,007.45/3,008.61 = 1,083.38/x
  3. Step 3: Cross multiply
    2,007.45x = 3,008.61 × 1,083.38
  4. Step 4: Simplify right side
    2,007.45x = 3,259,452.86
  5. Step 5: Solve for x
    x = 3,259,452.86/2,007.45
  6. Step 6: Final answer
    x = 1,623.68

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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.