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Finding the Fourth Proportional to 4,270.98, 6,400.92 and 2,189.22

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Solution

The fourth proportional to 4,270.98, 6,400.92 and 2,189.22 is: 3,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.98 : 6,400.92 = 2,189.22 : x
  2. Step 2: Convert to fraction form
    4,270.98/6,400.92 = 2,189.22/x
  3. Step 3: Cross multiply
    4,270.98x = 6,400.92 × 2,189.22
  4. Step 4: Simplify right side
    4,270.98x = 14,013,022.08
  5. Step 5: Solve for x
    x = 14,013,022.08/4,270.98
  6. Step 6: Final answer
    x = 3,280.99

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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.