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Finding the Fourth Proportional to 2,333.25, 3,220.31 and 1,338.53

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Solution

The fourth proportional to 2,333.25, 3,220.31 and 1,338.53 is: 1,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.25 : 3,220.31 = 1,338.53 : x
  2. Step 2: Convert to fraction form
    2,333.25/3,220.31 = 1,338.53/x
  3. Step 3: Cross multiply
    2,333.25x = 3,220.31 × 1,338.53
  4. Step 4: Simplify right side
    2,333.25x = 4,310,458.75
  5. Step 5: Solve for x
    x = 4,310,458.75/2,333.25
  6. Step 6: Final answer
    x = 1,847.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.