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Finding the Fourth Proportional to 3,203.72, 4,419.64 and 2,008.32

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Solution

The fourth proportional to 3,203.72, 4,419.64 and 2,008.32 is: 2,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.72 : 4,419.64 = 2,008.32 : x
  2. Step 2: Convert to fraction form
    3,203.72/4,419.64 = 2,008.32/x
  3. Step 3: Cross multiply
    3,203.72x = 4,419.64 × 2,008.32
  4. Step 4: Simplify right side
    3,203.72x = 8,876,051.40
  5. Step 5: Solve for x
    x = 8,876,051.40/3,203.72
  6. Step 6: Final answer
    x = 2,770.55

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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.