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Finding the Fourth Proportional to 2,738.93, 4,105.96 and 1,007.15

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Solution

The fourth proportional to 2,738.93, 4,105.96 and 1,007.15 is: 1,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.93 : 4,105.96 = 1,007.15 : x
  2. Step 2: Convert to fraction form
    2,738.93/4,105.96 = 1,007.15/x
  3. Step 3: Cross multiply
    2,738.93x = 4,105.96 × 1,007.15
  4. Step 4: Simplify right side
    2,738.93x = 4,135,317.61
  5. Step 5: Solve for x
    x = 4,135,317.61/2,738.93
  6. Step 6: Final answer
    x = 1,509.83

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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.