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Finding the Fourth Proportional to 4,189.94, 6,285 and 1,268.24

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Solution

The fourth proportional to 4,189.94, 6,285 and 1,268.24 is: 1,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.94 : 6,285 = 1,268.24 : x
  2. Step 2: Convert to fraction form
    4,189.94/6,285 = 1,268.24/x
  3. Step 3: Cross multiply
    4,189.94x = 6,285 × 1,268.24
  4. Step 4: Simplify right side
    4,189.94x = 7,970,888.40
  5. Step 5: Solve for x
    x = 7,970,888.40/4,189.94
  6. Step 6: Final answer
    x = 1,902.39

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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.