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Finding the Fourth Proportional to 2,727.73, 3,764.73 and 1,548.64

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Solution

The fourth proportional to 2,727.73, 3,764.73 and 1,548.64 is: 2,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.73 : 3,764.73 = 1,548.64 : x
  2. Step 2: Convert to fraction form
    2,727.73/3,764.73 = 1,548.64/x
  3. Step 3: Cross multiply
    2,727.73x = 3,764.73 × 1,548.64
  4. Step 4: Simplify right side
    2,727.73x = 5,830,211.47
  5. Step 5: Solve for x
    x = 5,830,211.47/2,727.73
  6. Step 6: Final answer
    x = 2,137.39

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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.