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Finding the Fourth Proportional to 2,027.94, 3,041.91 and 659.94

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Solution

The fourth proportional to 2,027.94, 3,041.91 and 659.94 is: 989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.94 : 3,041.91 = 659.94 : x
  2. Step 2: Convert to fraction form
    2,027.94/3,041.91 = 659.94/x
  3. Step 3: Cross multiply
    2,027.94x = 3,041.91 × 659.94
  4. Step 4: Simplify right side
    2,027.94x = 2,007,478.09
  5. Step 5: Solve for x
    x = 2,007,478.09/2,027.94
  6. Step 6: Final answer
    x = 989.91

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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.