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Finding the Fourth Proportional to 3,163.08, 4,742 and 1,315.52

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Solution

The fourth proportional to 3,163.08, 4,742 and 1,315.52 is: 1,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.08 : 4,742 = 1,315.52 : x
  2. Step 2: Convert to fraction form
    3,163.08/4,742 = 1,315.52/x
  3. Step 3: Cross multiply
    3,163.08x = 4,742 × 1,315.52
  4. Step 4: Simplify right side
    3,163.08x = 6,238,195.84
  5. Step 5: Solve for x
    x = 6,238,195.84/3,163.08
  6. Step 6: Final answer
    x = 1,972.19

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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.