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Finding the Fourth Proportional to 3,079.14, 4,617.75 and 998.67

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Solution

The fourth proportional to 3,079.14, 4,617.75 and 998.67 is: 1,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.14 : 4,617.75 = 998.67 : x
  2. Step 2: Convert to fraction form
    3,079.14/4,617.75 = 998.67/x
  3. Step 3: Cross multiply
    3,079.14x = 4,617.75 × 998.67
  4. Step 4: Simplify right side
    3,079.14x = 4,611,608.39
  5. Step 5: Solve for x
    x = 4,611,608.39/3,079.14
  6. Step 6: Final answer
    x = 1,497.69

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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.