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Finding the Fourth Proportional to 3,268.38, 4,902.86 and 928.41

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Solution

The fourth proportional to 3,268.38, 4,902.86 and 928.41 is: 1,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.38 : 4,902.86 = 928.41 : x
  2. Step 2: Convert to fraction form
    3,268.38/4,902.86 = 928.41/x
  3. Step 3: Cross multiply
    3,268.38x = 4,902.86 × 928.41
  4. Step 4: Simplify right side
    3,268.38x = 4,551,864.25
  5. Step 5: Solve for x
    x = 4,551,864.25/3,268.38
  6. Step 6: Final answer
    x = 1,392.70

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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.