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Finding the Fourth Proportional to 3,092.88, 4,640.34 and 2,056.95

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Solution

The fourth proportional to 3,092.88, 4,640.34 and 2,056.95 is: 3,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.88 : 4,640.34 = 2,056.95 : x
  2. Step 2: Convert to fraction form
    3,092.88/4,640.34 = 2,056.95/x
  3. Step 3: Cross multiply
    3,092.88x = 4,640.34 × 2,056.95
  4. Step 4: Simplify right side
    3,092.88x = 9,544,937.08
  5. Step 5: Solve for x
    x = 9,544,937.08/3,092.88
  6. Step 6: Final answer
    x = 3,086.11

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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.