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Finding the Fourth Proportional to 2,170.20, 2,992.34 and 2,053.43

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Solution

The fourth proportional to 2,170.20, 2,992.34 and 2,053.43 is: 2,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.20 : 2,992.34 = 2,053.43 : x
  2. Step 2: Convert to fraction form
    2,170.20/2,992.34 = 2,053.43/x
  3. Step 3: Cross multiply
    2,170.20x = 2,992.34 × 2,053.43
  4. Step 4: Simplify right side
    2,170.20x = 6,144,560.73
  5. Step 5: Solve for x
    x = 6,144,560.73/2,170.20
  6. Step 6: Final answer
    x = 2,831.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.