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Finding the Fourth Proportional to 3,139, 4,708.82 and 830.50

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Solution

The fourth proportional to 3,139, 4,708.82 and 830.50 is: 1,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139 : 4,708.82 = 830.50 : x
  2. Step 2: Convert to fraction form
    3,139/4,708.82 = 830.50/x
  3. Step 3: Cross multiply
    3,139x = 4,708.82 × 830.50
  4. Step 4: Simplify right side
    3,139x = 3,910,675.01
  5. Step 5: Solve for x
    x = 3,910,675.01/3,139
  6. Step 6: Final answer
    x = 1,245.83

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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.