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Finding the Fourth Proportional to 3,084.04, 4,626.74 and 892.86

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Solution

The fourth proportional to 3,084.04, 4,626.74 and 892.86 is: 1,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.04 : 4,626.74 = 892.86 : x
  2. Step 2: Convert to fraction form
    3,084.04/4,626.74 = 892.86/x
  3. Step 3: Cross multiply
    3,084.04x = 4,626.74 × 892.86
  4. Step 4: Simplify right side
    3,084.04x = 4,131,003.48
  5. Step 5: Solve for x
    x = 4,131,003.48/3,084.04
  6. Step 6: Final answer
    x = 1,339.48

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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.