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Finding the Fourth Proportional to 3,170.29, 4,753.41 and 1,523.56

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Solution

The fourth proportional to 3,170.29, 4,753.41 and 1,523.56 is: 2,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.29 : 4,753.41 = 1,523.56 : x
  2. Step 2: Convert to fraction form
    3,170.29/4,753.41 = 1,523.56/x
  3. Step 3: Cross multiply
    3,170.29x = 4,753.41 × 1,523.56
  4. Step 4: Simplify right side
    3,170.29x = 7,242,105.34
  5. Step 5: Solve for x
    x = 7,242,105.34/3,170.29
  6. Step 6: Final answer
    x = 2,284.37

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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.