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Finding the Fourth Proportional to 2,049.72, 2,828.58 and 1,118.22

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Solution

The fourth proportional to 2,049.72, 2,828.58 and 1,118.22 is: 1,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.72 : 2,828.58 = 1,118.22 : x
  2. Step 2: Convert to fraction form
    2,049.72/2,828.58 = 1,118.22/x
  3. Step 3: Cross multiply
    2,049.72x = 2,828.58 × 1,118.22
  4. Step 4: Simplify right side
    2,049.72x = 3,162,974.73
  5. Step 5: Solve for x
    x = 3,162,974.73/2,049.72
  6. Step 6: Final answer
    x = 1,543.13

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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.