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Finding the Fourth Proportional to 2,734.76, 4,098.90 and 1,694.99

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Solution

The fourth proportional to 2,734.76, 4,098.90 and 1,694.99 is: 2,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.76 : 4,098.90 = 1,694.99 : x
  2. Step 2: Convert to fraction form
    2,734.76/4,098.90 = 1,694.99/x
  3. Step 3: Cross multiply
    2,734.76x = 4,098.90 × 1,694.99
  4. Step 4: Simplify right side
    2,734.76x = 6,947,594.51
  5. Step 5: Solve for x
    x = 6,947,594.51/2,734.76
  6. Step 6: Final answer
    x = 2,540.48

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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.