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Finding the Fourth Proportional to 2,727.64, 3,763.86 and 1,732.56

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Solution

The fourth proportional to 2,727.64, 3,763.86 and 1,732.56 is: 2,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.64 : 3,763.86 = 1,732.56 : x
  2. Step 2: Convert to fraction form
    2,727.64/3,763.86 = 1,732.56/x
  3. Step 3: Cross multiply
    2,727.64x = 3,763.86 × 1,732.56
  4. Step 4: Simplify right side
    2,727.64x = 6,521,113.28
  5. Step 5: Solve for x
    x = 6,521,113.28/2,727.64
  6. Step 6: Final answer
    x = 2,390.75

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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.