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Finding the Fourth Proportional to 2,414.95, 3,622.62 and 771.73

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Solution

The fourth proportional to 2,414.95, 3,622.62 and 771.73 is: 1,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.95 : 3,622.62 = 771.73 : x
  2. Step 2: Convert to fraction form
    2,414.95/3,622.62 = 771.73/x
  3. Step 3: Cross multiply
    2,414.95x = 3,622.62 × 771.73
  4. Step 4: Simplify right side
    2,414.95x = 2,795,684.53
  5. Step 5: Solve for x
    x = 2,795,684.53/2,414.95
  6. Step 6: Final answer
    x = 1,157.66

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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.