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Finding the Fourth Proportional to 2,711.45, 3,743.93 and 2,080.98

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Solution

The fourth proportional to 2,711.45, 3,743.93 and 2,080.98 is: 2,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.45 : 3,743.93 = 2,080.98 : x
  2. Step 2: Convert to fraction form
    2,711.45/3,743.93 = 2,080.98/x
  3. Step 3: Cross multiply
    2,711.45x = 3,743.93 × 2,080.98
  4. Step 4: Simplify right side
    2,711.45x = 7,791,033.05
  5. Step 5: Solve for x
    x = 7,791,033.05/2,711.45
  6. Step 6: Final answer
    x = 2,873.38

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Why These Related Problems?

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