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Finding the Fourth Proportional to 3,401.64, 4,693.86 and 2,003.88

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Solution

The fourth proportional to 3,401.64, 4,693.86 and 2,003.88 is: 2,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.64 : 4,693.86 = 2,003.88 : x
  2. Step 2: Convert to fraction form
    3,401.64/4,693.86 = 2,003.88/x
  3. Step 3: Cross multiply
    3,401.64x = 4,693.86 × 2,003.88
  4. Step 4: Simplify right side
    3,401.64x = 9,405,932.18
  5. Step 5: Solve for x
    x = 9,405,932.18/3,401.64
  6. Step 6: Final answer
    x = 2,765.12

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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.