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Finding the Fourth Proportional to 2,060.82, 3,092.34 and 964.92

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Solution

The fourth proportional to 2,060.82, 3,092.34 and 964.92 is: 1,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.82 : 3,092.34 = 964.92 : x
  2. Step 2: Convert to fraction form
    2,060.82/3,092.34 = 964.92/x
  3. Step 3: Cross multiply
    2,060.82x = 3,092.34 × 964.92
  4. Step 4: Simplify right side
    2,060.82x = 2,983,860.71
  5. Step 5: Solve for x
    x = 2,983,860.71/2,060.82
  6. Step 6: Final answer
    x = 1,447.90

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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.