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Finding the Fourth Proportional to 3,100.85, 4,651.27 and 792.35

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Solution

The fourth proportional to 3,100.85, 4,651.27 and 792.35 is: 1,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.85 : 4,651.27 = 792.35 : x
  2. Step 2: Convert to fraction form
    3,100.85/4,651.27 = 792.35/x
  3. Step 3: Cross multiply
    3,100.85x = 4,651.27 × 792.35
  4. Step 4: Simplify right side
    3,100.85x = 3,685,433.78
  5. Step 5: Solve for x
    x = 3,685,433.78/3,100.85
  6. Step 6: Final answer
    x = 1,188.52

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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.