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Finding the Fourth Proportional to 3,201.22, 4,797.69 and 1,639.93

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Solution

The fourth proportional to 3,201.22, 4,797.69 and 1,639.93 is: 2,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.22 : 4,797.69 = 1,639.93 : x
  2. Step 2: Convert to fraction form
    3,201.22/4,797.69 = 1,639.93/x
  3. Step 3: Cross multiply
    3,201.22x = 4,797.69 × 1,639.93
  4. Step 4: Simplify right side
    3,201.22x = 7,867,875.76
  5. Step 5: Solve for x
    x = 7,867,875.76/3,201.22
  6. Step 6: Final answer
    x = 2,457.77

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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.