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Finding the Fourth Proportional to 2,027.71, 3,041.61 and 641.02

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Solution

The fourth proportional to 2,027.71, 3,041.61 and 641.02 is: 961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.71 : 3,041.61 = 641.02 : x
  2. Step 2: Convert to fraction form
    2,027.71/3,041.61 = 641.02/x
  3. Step 3: Cross multiply
    2,027.71x = 3,041.61 × 641.02
  4. Step 4: Simplify right side
    2,027.71x = 1,949,732.84
  5. Step 5: Solve for x
    x = 1,949,732.84/2,027.71
  6. Step 6: Final answer
    x = 961.54

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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.