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Finding the Fourth Proportional to 2,007.05, 2,761.47 and 1,960.41

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Solution

The fourth proportional to 2,007.05, 2,761.47 and 1,960.41 is: 2,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.05 : 2,761.47 = 1,960.41 : x
  2. Step 2: Convert to fraction form
    2,007.05/2,761.47 = 1,960.41/x
  3. Step 3: Cross multiply
    2,007.05x = 2,761.47 × 1,960.41
  4. Step 4: Simplify right side
    2,007.05x = 5,413,623.76
  5. Step 5: Solve for x
    x = 5,413,623.76/2,007.05
  6. Step 6: Final answer
    x = 2,697.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.