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Finding the Fourth Proportional to 2,857.42, 3,944.01 and 1,679.28

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Solution

The fourth proportional to 2,857.42, 3,944.01 and 1,679.28 is: 2,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.42 : 3,944.01 = 1,679.28 : x
  2. Step 2: Convert to fraction form
    2,857.42/3,944.01 = 1,679.28/x
  3. Step 3: Cross multiply
    2,857.42x = 3,944.01 × 1,679.28
  4. Step 4: Simplify right side
    2,857.42x = 6,623,097.11
  5. Step 5: Solve for x
    x = 6,623,097.11/2,857.42
  6. Step 6: Final answer
    x = 2,317.86

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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.