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Finding the Fourth Proportional to 3,109.52, 4,291.28 and 1,930.96

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Solution

The fourth proportional to 3,109.52, 4,291.28 and 1,930.96 is: 2,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.52 : 4,291.28 = 1,930.96 : x
  2. Step 2: Convert to fraction form
    3,109.52/4,291.28 = 1,930.96/x
  3. Step 3: Cross multiply
    3,109.52x = 4,291.28 × 1,930.96
  4. Step 4: Simplify right side
    3,109.52x = 8,286,290.03
  5. Step 5: Solve for x
    x = 8,286,290.03/3,109.52
  6. Step 6: Final answer
    x = 2,664.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.