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Finding the Fourth Proportional to 3,268.80, 4,902.98 and 1,047.60

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Solution

The fourth proportional to 3,268.80, 4,902.98 and 1,047.60 is: 1,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.80 : 4,902.98 = 1,047.60 : x
  2. Step 2: Convert to fraction form
    3,268.80/4,902.98 = 1,047.60/x
  3. Step 3: Cross multiply
    3,268.80x = 4,902.98 × 1,047.60
  4. Step 4: Simplify right side
    3,268.80x = 5,136,356.61
  5. Step 5: Solve for x
    x = 5,136,356.61/3,268.80
  6. Step 6: Final answer
    x = 1,571.33

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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.