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Finding the Fourth Proportional to 2,228.37, 3,342.75 and 584.92

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Solution

The fourth proportional to 2,228.37, 3,342.75 and 584.92 is: 877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.37 : 3,342.75 = 584.92 : x
  2. Step 2: Convert to fraction form
    2,228.37/3,342.75 = 584.92/x
  3. Step 3: Cross multiply
    2,228.37x = 3,342.75 × 584.92
  4. Step 4: Simplify right side
    2,228.37x = 1,955,241.33
  5. Step 5: Solve for x
    x = 1,955,241.33/2,228.37
  6. Step 6: Final answer
    x = 877.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.