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Finding the Fourth Proportional to 2,700.72, 3,727.44 and 2,036.52

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Solution

The fourth proportional to 2,700.72, 3,727.44 and 2,036.52 is: 2,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.72 : 3,727.44 = 2,036.52 : x
  2. Step 2: Convert to fraction form
    2,700.72/3,727.44 = 2,036.52/x
  3. Step 3: Cross multiply
    2,700.72x = 3,727.44 × 2,036.52
  4. Step 4: Simplify right side
    2,700.72x = 7,591,006.11
  5. Step 5: Solve for x
    x = 7,591,006.11/2,700.72
  6. Step 6: Final answer
    x = 2,810.73

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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.