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Finding the Fourth Proportional to 2,728.74, 3,764.76 and 1,549.56

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Solution

The fourth proportional to 2,728.74, 3,764.76 and 1,549.56 is: 2,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.74 : 3,764.76 = 1,549.56 : x
  2. Step 2: Convert to fraction form
    2,728.74/3,764.76 = 1,549.56/x
  3. Step 3: Cross multiply
    2,728.74x = 3,764.76 × 1,549.56
  4. Step 4: Simplify right side
    2,728.74x = 5,833,721.51
  5. Step 5: Solve for x
    x = 5,833,721.51/2,728.74
  6. Step 6: Final answer
    x = 2,137.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.