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Finding the Fourth Proportional to 3,100.39, 4,650.69 and 992.44

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Solution

The fourth proportional to 3,100.39, 4,650.69 and 992.44 is: 1,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.39 : 4,650.69 = 992.44 : x
  2. Step 2: Convert to fraction form
    3,100.39/4,650.69 = 992.44/x
  3. Step 3: Cross multiply
    3,100.39x = 4,650.69 × 992.44
  4. Step 4: Simplify right side
    3,100.39x = 4,615,530.78
  5. Step 5: Solve for x
    x = 4,615,530.78/3,100.39
  6. Step 6: Final answer
    x = 1,488.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.