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Finding the Fourth Proportional to 2,027.58, 3,041.82 and 641.00

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Solution

The fourth proportional to 2,027.58, 3,041.82 and 641.00 is: 961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.58 : 3,041.82 = 641.00 : x
  2. Step 2: Convert to fraction form
    2,027.58/3,041.82 = 641.00/x
  3. Step 3: Cross multiply
    2,027.58x = 3,041.82 × 641.00
  4. Step 4: Simplify right side
    2,027.58x = 1,949,791.41
  5. Step 5: Solve for x
    x = 1,949,791.41/2,027.58
  6. Step 6: Final answer
    x = 961.64

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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.