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Finding the Fourth Proportional to 2,238.56, 3,357.91 and 595.11

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Solution

The fourth proportional to 2,238.56, 3,357.91 and 595.11 is: 892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.56 : 3,357.91 = 595.11 : x
  2. Step 2: Convert to fraction form
    2,238.56/3,357.91 = 595.11/x
  3. Step 3: Cross multiply
    2,238.56x = 3,357.91 × 595.11
  4. Step 4: Simplify right side
    2,238.56x = 1,998,309.03
  5. Step 5: Solve for x
    x = 1,998,309.03/2,238.56
  6. Step 6: Final answer
    x = 892.68

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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.