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Finding the Fourth Proportional to 2,753.82, 3,799.65 and 1,635.15

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Solution

The fourth proportional to 2,753.82, 3,799.65 and 1,635.15 is: 2,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.82 : 3,799.65 = 1,635.15 : x
  2. Step 2: Convert to fraction form
    2,753.82/3,799.65 = 1,635.15/x
  3. Step 3: Cross multiply
    2,753.82x = 3,799.65 × 1,635.15
  4. Step 4: Simplify right side
    2,753.82x = 6,212,997.70
  5. Step 5: Solve for x
    x = 6,212,997.70/2,753.82
  6. Step 6: Final answer
    x = 2,256.14

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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.