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Finding the Fourth Proportional to 2,127.99, 3,192.11 and 567.96

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Solution

The fourth proportional to 2,127.99, 3,192.11 and 567.96 is: 851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.99 : 3,192.11 = 567.96 : x
  2. Step 2: Convert to fraction form
    2,127.99/3,192.11 = 567.96/x
  3. Step 3: Cross multiply
    2,127.99x = 3,192.11 × 567.96
  4. Step 4: Simplify right side
    2,127.99x = 1,812,990.80
  5. Step 5: Solve for x
    x = 1,812,990.80/2,127.99
  6. Step 6: Final answer
    x = 851.97

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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.