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Finding the Fourth Proportional to 2,156.66, 3,234.98 and 596.60

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Solution

The fourth proportional to 2,156.66, 3,234.98 and 596.60 is: 894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.66 : 3,234.98 = 596.60 : x
  2. Step 2: Convert to fraction form
    2,156.66/3,234.98 = 596.60/x
  3. Step 3: Cross multiply
    2,156.66x = 3,234.98 × 596.60
  4. Step 4: Simplify right side
    2,156.66x = 1,929,989.07
  5. Step 5: Solve for x
    x = 1,929,989.07/2,156.66
  6. Step 6: Final answer
    x = 894.90

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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.