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Finding the Fourth Proportional to 3,084.92, 4,626.70 and 1,439.92

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Solution

The fourth proportional to 3,084.92, 4,626.70 and 1,439.92 is: 2,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.92 : 4,626.70 = 1,439.92 : x
  2. Step 2: Convert to fraction form
    3,084.92/4,626.70 = 1,439.92/x
  3. Step 3: Cross multiply
    3,084.92x = 4,626.70 × 1,439.92
  4. Step 4: Simplify right side
    3,084.92x = 6,662,077.86
  5. Step 5: Solve for x
    x = 6,662,077.86/3,084.92
  6. Step 6: Final answer
    x = 2,159.56

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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.