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Finding the Fourth Proportional to 2,255.82, 3,383.62 and 589.94

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Solution

The fourth proportional to 2,255.82, 3,383.62 and 589.94 is: 884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.82 : 3,383.62 = 589.94 : x
  2. Step 2: Convert to fraction form
    2,255.82/3,383.62 = 589.94/x
  3. Step 3: Cross multiply
    2,255.82x = 3,383.62 × 589.94
  4. Step 4: Simplify right side
    2,255.82x = 1,996,129.83
  5. Step 5: Solve for x
    x = 1,996,129.83/2,255.82
  6. Step 6: Final answer
    x = 884.88

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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.