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Finding the Fourth Proportional to 3,078, 4,617.67 and 998.21

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Solution

The fourth proportional to 3,078, 4,617.67 and 998.21 is: 1,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 4,617.67 = 998.21 : x
  2. Step 2: Convert to fraction form
    3,078/4,617.67 = 998.21/x
  3. Step 3: Cross multiply
    3,078x = 4,617.67 × 998.21
  4. Step 4: Simplify right side
    3,078x = 4,609,404.37
  5. Step 5: Solve for x
    x = 4,609,404.37/3,078
  6. Step 6: Final answer
    x = 1,497.53

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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.