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Finding the Fourth Proportional to 2,263.82, 3,395.86 and 620.33

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Solution

The fourth proportional to 2,263.82, 3,395.86 and 620.33 is: 930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.82 : 3,395.86 = 620.33 : x
  2. Step 2: Convert to fraction form
    2,263.82/3,395.86 = 620.33/x
  3. Step 3: Cross multiply
    2,263.82x = 3,395.86 × 620.33
  4. Step 4: Simplify right side
    2,263.82x = 2,106,535.30
  5. Step 5: Solve for x
    x = 2,106,535.30/2,263.82
  6. Step 6: Final answer
    x = 930.52

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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.