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Finding the Fourth Proportional to 3,165.75, 4,366.17 and 2,046.74

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Solution

The fourth proportional to 3,165.75, 4,366.17 and 2,046.74 is: 2,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.75 : 4,366.17 = 2,046.74 : x
  2. Step 2: Convert to fraction form
    3,165.75/4,366.17 = 2,046.74/x
  3. Step 3: Cross multiply
    3,165.75x = 4,366.17 × 2,046.74
  4. Step 4: Simplify right side
    3,165.75x = 8,936,392.95
  5. Step 5: Solve for x
    x = 8,936,392.95/3,165.75
  6. Step 6: Final answer
    x = 2,822.84

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