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Finding the Fourth Proportional to 2,414.45, 3,621.87 and 771.23

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Solution

The fourth proportional to 2,414.45, 3,621.87 and 771.23 is: 1,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.45 : 3,621.87 = 771.23 : x
  2. Step 2: Convert to fraction form
    2,414.45/3,621.87 = 771.23/x
  3. Step 3: Cross multiply
    2,414.45x = 3,621.87 × 771.23
  4. Step 4: Simplify right side
    2,414.45x = 2,793,276.69
  5. Step 5: Solve for x
    x = 2,793,276.69/2,414.45
  6. Step 6: Final answer
    x = 1,156.90

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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.