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Finding the Fourth Proportional to 2,727.61, 3,763.97 and 1,548.65

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Solution

The fourth proportional to 2,727.61, 3,763.97 and 1,548.65 is: 2,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.61 : 3,763.97 = 1,548.65 : x
  2. Step 2: Convert to fraction form
    2,727.61/3,763.97 = 1,548.65/x
  3. Step 3: Cross multiply
    2,727.61x = 3,763.97 × 1,548.65
  4. Step 4: Simplify right side
    2,727.61x = 5,829,079.61
  5. Step 5: Solve for x
    x = 5,829,079.61/2,727.61
  6. Step 6: Final answer
    x = 2,137.07

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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.