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Finding the Fourth Proportional to 2,727.94, 3,764.45 and 1,548.88

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Solution

The fourth proportional to 2,727.94, 3,764.45 and 1,548.88 is: 2,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.94 : 3,764.45 = 1,548.88 : x
  2. Step 2: Convert to fraction form
    2,727.94/3,764.45 = 1,548.88/x
  3. Step 3: Cross multiply
    2,727.94x = 3,764.45 × 1,548.88
  4. Step 4: Simplify right side
    2,727.94x = 5,830,677.44
  5. Step 5: Solve for x
    x = 5,830,677.44/2,727.94
  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.