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Finding the Fourth Proportional to 3,188.34, 4,782.60 and 879.84

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Solution

The fourth proportional to 3,188.34, 4,782.60 and 879.84 is: 1,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.34 : 4,782.60 = 879.84 : x
  2. Step 2: Convert to fraction form
    3,188.34/4,782.60 = 879.84/x
  3. Step 3: Cross multiply
    3,188.34x = 4,782.60 × 879.84
  4. Step 4: Simplify right side
    3,188.34x = 4,207,922.78
  5. Step 5: Solve for x
    x = 4,207,922.78/3,188.34
  6. Step 6: Final answer
    x = 1,319.78

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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.