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Finding the Fourth Proportional to 2,156.45, 3,234.87 and 596.55

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Solution

The fourth proportional to 2,156.45, 3,234.87 and 596.55 is: 894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.45 : 3,234.87 = 596.55 : x
  2. Step 2: Convert to fraction form
    2,156.45/3,234.87 = 596.55/x
  3. Step 3: Cross multiply
    2,156.45x = 3,234.87 × 596.55
  4. Step 4: Simplify right side
    2,156.45x = 1,929,761.70
  5. Step 5: Solve for x
    x = 1,929,761.70/2,156.45
  6. Step 6: Final answer
    x = 894.88

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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.