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Finding the Fourth Proportional to 3,104.97, 4,657.44 and 2,184.64

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Solution

The fourth proportional to 3,104.97, 4,657.44 and 2,184.64 is: 3,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.97 : 4,657.44 = 2,184.64 : x
  2. Step 2: Convert to fraction form
    3,104.97/4,657.44 = 2,184.64/x
  3. Step 3: Cross multiply
    3,104.97x = 4,657.44 × 2,184.64
  4. Step 4: Simplify right side
    3,104.97x = 10,174,826.27
  5. Step 5: Solve for x
    x = 10,174,826.27/3,104.97
  6. Step 6: Final answer
    x = 3,276.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.