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Finding the Fourth Proportional to 2,738.45, 4,109.66 and 1,095.45

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Solution

The fourth proportional to 2,738.45, 4,109.66 and 1,095.45 is: 1,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.45 : 4,109.66 = 1,095.45 : x
  2. Step 2: Convert to fraction form
    2,738.45/4,109.66 = 1,095.45/x
  3. Step 3: Cross multiply
    2,738.45x = 4,109.66 × 1,095.45
  4. Step 4: Simplify right side
    2,738.45x = 4,501,921.57
  5. Step 5: Solve for x
    x = 4,501,921.57/2,738.45
  6. Step 6: Final answer
    x = 1,643.97

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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.