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Finding the Fourth Proportional to 3,188.43, 4,782.29 and 879.75

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Solution

The fourth proportional to 3,188.43, 4,782.29 and 879.75 is: 1,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.43 : 4,782.29 = 879.75 : x
  2. Step 2: Convert to fraction form
    3,188.43/4,782.29 = 879.75/x
  3. Step 3: Cross multiply
    3,188.43x = 4,782.29 × 879.75
  4. Step 4: Simplify right side
    3,188.43x = 4,207,215.23
  5. Step 5: Solve for x
    x = 4,207,215.23/3,188.43
  6. Step 6: Final answer
    x = 1,319.53

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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.