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Finding the Fourth Proportional to 2,680.94, 4,022.07 and 2,165.61

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Solution

The fourth proportional to 2,680.94, 4,022.07 and 2,165.61 is: 3,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.94 : 4,022.07 = 2,165.61 : x
  2. Step 2: Convert to fraction form
    2,680.94/4,022.07 = 2,165.61/x
  3. Step 3: Cross multiply
    2,680.94x = 4,022.07 × 2,165.61
  4. Step 4: Simplify right side
    2,680.94x = 8,710,224.18
  5. Step 5: Solve for x
    x = 8,710,224.18/2,680.94
  6. Step 6: Final answer
    x = 3,248.95

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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.