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Finding the Fourth Proportional to 3,122.69, 4,308.18 and 2,004.12

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Solution

The fourth proportional to 3,122.69, 4,308.18 and 2,004.12 is: 2,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.69 : 4,308.18 = 2,004.12 : x
  2. Step 2: Convert to fraction form
    3,122.69/4,308.18 = 2,004.12/x
  3. Step 3: Cross multiply
    3,122.69x = 4,308.18 × 2,004.12
  4. Step 4: Simplify right side
    3,122.69x = 8,634,109.70
  5. Step 5: Solve for x
    x = 8,634,109.70/3,122.69
  6. Step 6: Final answer
    x = 2,764.96

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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.