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Finding the Fourth Proportional to 2,005.96, 3,006.78 and 1,310.44

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Solution

The fourth proportional to 2,005.96, 3,006.78 and 1,310.44 is: 1,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.96 : 3,006.78 = 1,310.44 : x
  2. Step 2: Convert to fraction form
    2,005.96/3,006.78 = 1,310.44/x
  3. Step 3: Cross multiply
    2,005.96x = 3,006.78 × 1,310.44
  4. Step 4: Simplify right side
    2,005.96x = 3,940,204.78
  5. Step 5: Solve for x
    x = 3,940,204.78/2,005.96
  6. Step 6: Final answer
    x = 1,964.25

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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.