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Finding the Fourth Proportional to 2,238.23, 3,357.32 and 594.89

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Solution

The fourth proportional to 2,238.23, 3,357.32 and 594.89 is: 892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.23 : 3,357.32 = 594.89 : x
  2. Step 2: Convert to fraction form
    2,238.23/3,357.32 = 594.89/x
  3. Step 3: Cross multiply
    2,238.23x = 3,357.32 × 594.89
  4. Step 4: Simplify right side
    2,238.23x = 1,997,225.97
  5. Step 5: Solve for x
    x = 1,997,225.97/2,238.23
  6. Step 6: Final answer
    x = 892.33

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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.