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Finding the Fourth Proportional to 2,727.63, 3,764.25 and 1,548.63

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Solution

The fourth proportional to 2,727.63, 3,764.25 and 1,548.63 is: 2,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.63 : 3,764.25 = 1,548.63 : x
  2. Step 2: Convert to fraction form
    2,727.63/3,764.25 = 1,548.63/x
  3. Step 3: Cross multiply
    2,727.63x = 3,764.25 × 1,548.63
  4. Step 4: Simplify right side
    2,727.63x = 5,829,430.48
  5. Step 5: Solve for x
    x = 5,829,430.48/2,727.63
  6. Step 6: Final answer
    x = 2,137.18

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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.