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Finding the Fourth Proportional to 2,838.54, 4,257.84 and 1,084.32

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Solution

The fourth proportional to 2,838.54, 4,257.84 and 1,084.32 is: 1,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.54 : 4,257.84 = 1,084.32 : x
  2. Step 2: Convert to fraction form
    2,838.54/4,257.84 = 1,084.32/x
  3. Step 3: Cross multiply
    2,838.54x = 4,257.84 × 1,084.32
  4. Step 4: Simplify right side
    2,838.54x = 4,616,861.07
  5. Step 5: Solve for x
    x = 4,616,861.07/2,838.54
  6. Step 6: Final answer
    x = 1,626.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.