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Finding the Fourth Proportional to 2,857.68, 3,944.30 and 1,679.54

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Solution

The fourth proportional to 2,857.68, 3,944.30 and 1,679.54 is: 2,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.68 : 3,944.30 = 1,679.54 : x
  2. Step 2: Convert to fraction form
    2,857.68/3,944.30 = 1,679.54/x
  3. Step 3: Cross multiply
    2,857.68x = 3,944.30 × 1,679.54
  4. Step 4: Simplify right side
    2,857.68x = 6,624,581.50
  5. Step 5: Solve for x
    x = 6,624,581.50/2,857.68
  6. Step 6: Final answer
    x = 2,318.17

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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.