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Finding the Fourth Proportional to 2,800.62, 4,200.03 and 926.09

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Solution

The fourth proportional to 2,800.62, 4,200.03 and 926.09 is: 1,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.62 : 4,200.03 = 926.09 : x
  2. Step 2: Convert to fraction form
    2,800.62/4,200.03 = 926.09/x
  3. Step 3: Cross multiply
    2,800.62x = 4,200.03 × 926.09
  4. Step 4: Simplify right side
    2,800.62x = 3,889,616.28
  5. Step 5: Solve for x
    x = 3,889,616.28/2,800.62
  6. Step 6: Final answer
    x = 1,388.84

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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.