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Finding the Fourth Proportional to 3,046.82, 4,570.79 and 1,099.17

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Solution

The fourth proportional to 3,046.82, 4,570.79 and 1,099.17 is: 1,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.82 : 4,570.79 = 1,099.17 : x
  2. Step 2: Convert to fraction form
    3,046.82/4,570.79 = 1,099.17/x
  3. Step 3: Cross multiply
    3,046.82x = 4,570.79 × 1,099.17
  4. Step 4: Simplify right side
    3,046.82x = 5,024,069.75
  5. Step 5: Solve for x
    x = 5,024,069.75/3,046.82
  6. Step 6: Final answer
    x = 1,648.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.