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Finding the Fourth Proportional to 3,216.78, 4,822.20 and 1,268.55

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Solution

The fourth proportional to 3,216.78, 4,822.20 and 1,268.55 is: 1,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.78 : 4,822.20 = 1,268.55 : x
  2. Step 2: Convert to fraction form
    3,216.78/4,822.20 = 1,268.55/x
  3. Step 3: Cross multiply
    3,216.78x = 4,822.20 × 1,268.55
  4. Step 4: Simplify right side
    3,216.78x = 6,117,201.81
  5. Step 5: Solve for x
    x = 6,117,201.81/3,216.78
  6. Step 6: Final answer
    x = 1,901.65

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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.