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Finding the Fourth Proportional to 3,105.75, 4,658.70 and 1,157.57

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Solution

The fourth proportional to 3,105.75, 4,658.70 and 1,157.57 is: 1,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.75 : 4,658.70 = 1,157.57 : x
  2. Step 2: Convert to fraction form
    3,105.75/4,658.70 = 1,157.57/x
  3. Step 3: Cross multiply
    3,105.75x = 4,658.70 × 1,157.57
  4. Step 4: Simplify right side
    3,105.75x = 5,392,771.36
  5. Step 5: Solve for x
    x = 5,392,771.36/3,105.75
  6. Step 6: Final answer
    x = 1,736.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.