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Finding the Fourth Proportional to 2,092.24, 3,138.25 and 859.34

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Solution

The fourth proportional to 2,092.24, 3,138.25 and 859.34 is: 1,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.24 : 3,138.25 = 859.34 : x
  2. Step 2: Convert to fraction form
    2,092.24/3,138.25 = 859.34/x
  3. Step 3: Cross multiply
    2,092.24x = 3,138.25 × 859.34
  4. Step 4: Simplify right side
    2,092.24x = 2,696,823.76
  5. Step 5: Solve for x
    x = 2,696,823.76/2,092.24
  6. Step 6: Final answer
    x = 1,288.96

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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.