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Finding the Fourth Proportional to 3,118.92, 4,678.38 and 1,659.84

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Solution

The fourth proportional to 3,118.92, 4,678.38 and 1,659.84 is: 2,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.92 : 4,678.38 = 1,659.84 : x
  2. Step 2: Convert to fraction form
    3,118.92/4,678.38 = 1,659.84/x
  3. Step 3: Cross multiply
    3,118.92x = 4,678.38 × 1,659.84
  4. Step 4: Simplify right side
    3,118.92x = 7,765,362.26
  5. Step 5: Solve for x
    x = 7,765,362.26/3,118.92
  6. Step 6: Final answer
    x = 2,489.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.