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Finding the Fourth Proportional to 2,192.54, 2,998.89 and 2,158.52

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Solution

The fourth proportional to 2,192.54, 2,998.89 and 2,158.52 is: 2,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.54 : 2,998.89 = 2,158.52 : x
  2. Step 2: Convert to fraction form
    2,192.54/2,998.89 = 2,158.52/x
  3. Step 3: Cross multiply
    2,192.54x = 2,998.89 × 2,158.52
  4. Step 4: Simplify right side
    2,192.54x = 6,473,149.05
  5. Step 5: Solve for x
    x = 6,473,149.05/2,192.54
  6. Step 6: Final answer
    x = 2,952.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.