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Finding the Fourth Proportional to 2,049.68, 2,828.79 and 1,165.66

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Solution

The fourth proportional to 2,049.68, 2,828.79 and 1,165.66 is: 1,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.68 : 2,828.79 = 1,165.66 : x
  2. Step 2: Convert to fraction form
    2,049.68/2,828.79 = 1,165.66/x
  3. Step 3: Cross multiply
    2,049.68x = 2,828.79 × 1,165.66
  4. Step 4: Simplify right side
    2,049.68x = 3,297,400.28
  5. Step 5: Solve for x
    x = 3,297,400.28/2,049.68
  6. Step 6: Final answer
    x = 1,608.74

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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.