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Finding the Fourth Proportional to 2,156.83, 3,234.66 and 596.46

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Solution

The fourth proportional to 2,156.83, 3,234.66 and 596.46 is: 894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.83 : 3,234.66 = 596.46 : x
  2. Step 2: Convert to fraction form
    2,156.83/3,234.66 = 596.46/x
  3. Step 3: Cross multiply
    2,156.83x = 3,234.66 × 596.46
  4. Step 4: Simplify right side
    2,156.83x = 1,929,345.30
  5. Step 5: Solve for x
    x = 1,929,345.30/2,156.83
  6. Step 6: Final answer
    x = 894.53

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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.