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Finding the Fourth Proportional to 3,084.24, 4,626.22 and 892.92

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Solution

The fourth proportional to 3,084.24, 4,626.22 and 892.92 is: 1,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.24 : 4,626.22 = 892.92 : x
  2. Step 2: Convert to fraction form
    3,084.24/4,626.22 = 892.92/x
  3. Step 3: Cross multiply
    3,084.24x = 4,626.22 × 892.92
  4. Step 4: Simplify right side
    3,084.24x = 4,130,819.00
  5. Step 5: Solve for x
    x = 4,130,819.00/3,084.24
  6. Step 6: Final answer
    x = 1,339.33

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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.