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Finding the Fourth Proportional to 2,930.76, 4,396.44 and 739.50

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Solution

The fourth proportional to 2,930.76, 4,396.44 and 739.50 is: 1,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.76 : 4,396.44 = 739.50 : x
  2. Step 2: Convert to fraction form
    2,930.76/4,396.44 = 739.50/x
  3. Step 3: Cross multiply
    2,930.76x = 4,396.44 × 739.50
  4. Step 4: Simplify right side
    2,930.76x = 3,251,167.38
  5. Step 5: Solve for x
    x = 3,251,167.38/2,930.76
  6. Step 6: Final answer
    x = 1,109.33

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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.