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Finding the Fourth Proportional to 2,727.52, 3,762.78 and 1,843

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Solution

The fourth proportional to 2,727.52, 3,762.78 and 1,843 is: 2,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.52 : 3,762.78 = 1,843 : x
  2. Step 2: Convert to fraction form
    2,727.52/3,762.78 = 1,843/x
  3. Step 3: Cross multiply
    2,727.52x = 3,762.78 × 1,843
  4. Step 4: Simplify right side
    2,727.52x = 6,934,803.54
  5. Step 5: Solve for x
    x = 6,934,803.54/2,727.52
  6. Step 6: Final answer
    x = 2,542.53

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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.