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Finding the Fourth Proportional to 2,694.52, 3,717.12 and 1,644.76

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Solution

The fourth proportional to 2,694.52, 3,717.12 and 1,644.76 is: 2,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.52 : 3,717.12 = 1,644.76 : x
  2. Step 2: Convert to fraction form
    2,694.52/3,717.12 = 1,644.76/x
  3. Step 3: Cross multiply
    2,694.52x = 3,717.12 × 1,644.76
  4. Step 4: Simplify right side
    2,694.52x = 6,113,770.29
  5. Step 5: Solve for x
    x = 6,113,770.29/2,694.52
  6. Step 6: Final answer
    x = 2,268.96

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Half scale
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1.5x scale

Why These Related Problems?

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