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Finding the Fourth Proportional to 2,754.59, 3,800.09 and 1,634.90

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Solution

The fourth proportional to 2,754.59, 3,800.09 and 1,634.90 is: 2,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.59 : 3,800.09 = 1,634.90 : x
  2. Step 2: Convert to fraction form
    2,754.59/3,800.09 = 1,634.90/x
  3. Step 3: Cross multiply
    2,754.59x = 3,800.09 × 1,634.90
  4. Step 4: Simplify right side
    2,754.59x = 6,212,752.23
  5. Step 5: Solve for x
    x = 6,212,752.23/2,754.59
  6. Step 6: Final answer
    x = 2,255.42

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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.