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Finding the Fourth Proportional to 2,851.76, 4,277.22 and 771.88

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Solution

The fourth proportional to 2,851.76, 4,277.22 and 771.88 is: 1,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.76 : 4,277.22 = 771.88 : x
  2. Step 2: Convert to fraction form
    2,851.76/4,277.22 = 771.88/x
  3. Step 3: Cross multiply
    2,851.76x = 4,277.22 × 771.88
  4. Step 4: Simplify right side
    2,851.76x = 3,301,500.57
  5. Step 5: Solve for x
    x = 3,301,500.57/2,851.76
  6. Step 6: Final answer
    x = 1,157.71

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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.