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Finding the Fourth Proportional to 2,963.14, 4,444.65 and 771.88

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Solution

The fourth proportional to 2,963.14, 4,444.65 and 771.88 is: 1,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.14 : 4,444.65 = 771.88 : x
  2. Step 2: Convert to fraction form
    2,963.14/4,444.65 = 771.88/x
  3. Step 3: Cross multiply
    2,963.14x = 4,444.65 × 771.88
  4. Step 4: Simplify right side
    2,963.14x = 3,430,736.44
  5. Step 5: Solve for x
    x = 3,430,736.44/2,963.14
  6. Step 6: Final answer
    x = 1,157.80

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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.