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Finding the Fourth Proportional to 2,231.72, 3,346.62 and 771.02

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Solution

The fourth proportional to 2,231.72, 3,346.62 and 771.02 is: 1,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.72 : 3,346.62 = 771.02 : x
  2. Step 2: Convert to fraction form
    2,231.72/3,346.62 = 771.02/x
  3. Step 3: Cross multiply
    2,231.72x = 3,346.62 × 771.02
  4. Step 4: Simplify right side
    2,231.72x = 2,580,310.95
  5. Step 5: Solve for x
    x = 2,580,310.95/2,231.72
  6. Step 6: Final answer
    x = 1,156.20

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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.