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Finding the Fourth Proportional to 3,165.82, 4,745.22 and 1,315.96

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Solution

The fourth proportional to 3,165.82, 4,745.22 and 1,315.96 is: 1,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.82 : 4,745.22 = 1,315.96 : x
  2. Step 2: Convert to fraction form
    3,165.82/4,745.22 = 1,315.96/x
  3. Step 3: Cross multiply
    3,165.82x = 4,745.22 × 1,315.96
  4. Step 4: Simplify right side
    3,165.82x = 6,244,519.71
  5. Step 5: Solve for x
    x = 6,244,519.71/3,165.82
  6. Step 6: Final answer
    x = 1,972.48

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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.