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Finding the Fourth Proportional to 3,163.62, 4,746.06 and 1,215.68

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Solution

The fourth proportional to 3,163.62, 4,746.06 and 1,215.68 is: 1,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.62 : 4,746.06 = 1,215.68 : x
  2. Step 2: Convert to fraction form
    3,163.62/4,746.06 = 1,215.68/x
  3. Step 3: Cross multiply
    3,163.62x = 4,746.06 × 1,215.68
  4. Step 4: Simplify right side
    3,163.62x = 5,769,690.22
  5. Step 5: Solve for x
    x = 5,769,690.22/3,163.62
  6. Step 6: Final answer
    x = 1,823.76

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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.