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Finding the Fourth Proportional to 3,157.37, 4,729.98 and 1,766.49

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Solution

The fourth proportional to 3,157.37, 4,729.98 and 1,766.49 is: 2,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.37 : 4,729.98 = 1,766.49 : x
  2. Step 2: Convert to fraction form
    3,157.37/4,729.98 = 1,766.49/x
  3. Step 3: Cross multiply
    3,157.37x = 4,729.98 × 1,766.49
  4. Step 4: Simplify right side
    3,157.37x = 8,355,438.72
  5. Step 5: Solve for x
    x = 8,355,438.72/3,157.37
  6. Step 6: Final answer
    x = 2,646.33

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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.