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Finding the Fourth Proportional to 3,400.32, 4,691.88 and 2,003.34

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Solution

The fourth proportional to 3,400.32, 4,691.88 and 2,003.34 is: 2,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.32 : 4,691.88 = 2,003.34 : x
  2. Step 2: Convert to fraction form
    3,400.32/4,691.88 = 2,003.34/x
  3. Step 3: Cross multiply
    3,400.32x = 4,691.88 × 2,003.34
  4. Step 4: Simplify right side
    3,400.32x = 9,399,430.88
  5. Step 5: Solve for x
    x = 9,399,430.88/3,400.32
  6. Step 6: Final answer
    x = 2,764.28

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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.