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Finding the Fourth Proportional to 4,268.74, 6,403.11 and 1,190.50

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Solution

The fourth proportional to 4,268.74, 6,403.11 and 1,190.50 is: 1,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.74 : 6,403.11 = 1,190.50 : x
  2. Step 2: Convert to fraction form
    4,268.74/6,403.11 = 1,190.50/x
  3. Step 3: Cross multiply
    4,268.74x = 6,403.11 × 1,190.50
  4. Step 4: Simplify right side
    4,268.74x = 7,622,902.46
  5. Step 5: Solve for x
    x = 7,622,902.46/4,268.74
  6. Step 6: Final answer
    x = 1,785.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.