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Finding the Fourth Proportional to 2,231.82, 3,348.14 and 933.39

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Solution

The fourth proportional to 2,231.82, 3,348.14 and 933.39 is: 1,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.82 : 3,348.14 = 933.39 : x
  2. Step 2: Convert to fraction form
    2,231.82/3,348.14 = 933.39/x
  3. Step 3: Cross multiply
    2,231.82x = 3,348.14 × 933.39
  4. Step 4: Simplify right side
    2,231.82x = 3,125,115.73
  5. Step 5: Solve for x
    x = 3,125,115.73/2,231.82
  6. Step 6: Final answer
    x = 1,400.25

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1.5x scale

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.