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Finding the Fourth Proportional to 3,793.05, 5,690.34 and 1,601.77

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Solution

The fourth proportional to 3,793.05, 5,690.34 and 1,601.77 is: 2,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.05 : 5,690.34 = 1,601.77 : x
  2. Step 2: Convert to fraction form
    3,793.05/5,690.34 = 1,601.77/x
  3. Step 3: Cross multiply
    3,793.05x = 5,690.34 × 1,601.77
  4. Step 4: Simplify right side
    3,793.05x = 9,114,615.90
  5. Step 5: Solve for x
    x = 9,114,615.90/3,793.05
  6. Step 6: Final answer
    x = 2,402.98

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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.