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Finding the Fourth Proportional to 2,753.65, 3,799.65 and 1,634.14

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Solution

The fourth proportional to 2,753.65, 3,799.65 and 1,634.14 is: 2,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.65 : 3,799.65 = 1,634.14 : x
  2. Step 2: Convert to fraction form
    2,753.65/3,799.65 = 1,634.14/x
  3. Step 3: Cross multiply
    2,753.65x = 3,799.65 × 1,634.14
  4. Step 4: Simplify right side
    2,753.65x = 6,209,160.05
  5. Step 5: Solve for x
    x = 6,209,160.05/2,753.65
  6. Step 6: Final answer
    x = 2,254.88

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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.