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Finding the Fourth Proportional to 3,201.95, 4,802.52 and 1,352.14

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Solution

The fourth proportional to 3,201.95, 4,802.52 and 1,352.14 is: 2,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.95 : 4,802.52 = 1,352.14 : x
  2. Step 2: Convert to fraction form
    3,201.95/4,802.52 = 1,352.14/x
  3. Step 3: Cross multiply
    3,201.95x = 4,802.52 × 1,352.14
  4. Step 4: Simplify right side
    3,201.95x = 6,493,679.39
  5. Step 5: Solve for x
    x = 6,493,679.39/3,201.95
  6. Step 6: Final answer
    x = 2,028.04

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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.