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Finding the Fourth Proportional to 3,163.64, 4,746.01 and 1,083.15

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Solution

The fourth proportional to 3,163.64, 4,746.01 and 1,083.15 is: 1,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.64 : 4,746.01 = 1,083.15 : x
  2. Step 2: Convert to fraction form
    3,163.64/4,746.01 = 1,083.15/x
  3. Step 3: Cross multiply
    3,163.64x = 4,746.01 × 1,083.15
  4. Step 4: Simplify right side
    3,163.64x = 5,140,640.73
  5. Step 5: Solve for x
    x = 5,140,640.73/3,163.64
  6. Step 6: Final answer
    x = 1,624.91

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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.