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Finding the Fourth Proportional to 3,170.21, 4,757.65 and 1,504.34

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Solution

The fourth proportional to 3,170.21, 4,757.65 and 1,504.34 is: 2,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.21 : 4,757.65 = 1,504.34 : x
  2. Step 2: Convert to fraction form
    3,170.21/4,757.65 = 1,504.34/x
  3. Step 3: Cross multiply
    3,170.21x = 4,757.65 × 1,504.34
  4. Step 4: Simplify right side
    3,170.21x = 7,157,138.86
  5. Step 5: Solve for x
    x = 7,157,138.86/3,170.21
  6. Step 6: Final answer
    x = 2,257.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.