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Finding the Fourth Proportional to 3,122.94, 4,308.36 and 2,003.64

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Solution

The fourth proportional to 3,122.94, 4,308.36 and 2,003.64 is: 2,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.94 : 4,308.36 = 2,003.64 : x
  2. Step 2: Convert to fraction form
    3,122.94/4,308.36 = 2,003.64/x
  3. Step 3: Cross multiply
    3,122.94x = 4,308.36 × 2,003.64
  4. Step 4: Simplify right side
    3,122.94x = 8,632,402.43
  5. Step 5: Solve for x
    x = 8,632,402.43/3,122.94
  6. Step 6: Final answer
    x = 2,764.19

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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.