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Finding the Fourth Proportional to 3,084.31, 4,626.39 and 976.09

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Solution

The fourth proportional to 3,084.31, 4,626.39 and 976.09 is: 1,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.31 : 4,626.39 = 976.09 : x
  2. Step 2: Convert to fraction form
    3,084.31/4,626.39 = 976.09/x
  3. Step 3: Cross multiply
    3,084.31x = 4,626.39 × 976.09
  4. Step 4: Simplify right side
    3,084.31x = 4,515,756.43
  5. Step 5: Solve for x
    x = 4,515,756.43/3,084.31
  6. Step 6: Final answer
    x = 1,464.10

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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.