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Finding the Fourth Proportional to 2,234.77, 3,352.09 and 591.33

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Solution

The fourth proportional to 2,234.77, 3,352.09 and 591.33 is: 886.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.77 : 3,352.09 = 591.33 : x
  2. Step 2: Convert to fraction form
    2,234.77/3,352.09 = 591.33/x
  3. Step 3: Cross multiply
    2,234.77x = 3,352.09 × 591.33
  4. Step 4: Simplify right side
    2,234.77x = 1,982,188.42
  5. Step 5: Solve for x
    x = 1,982,188.42/2,234.77
  6. Step 6: Final answer
    x = 886.98

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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.