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Finding the Fourth Proportional to 3,194.92, 4,792.07 and 1,003.59

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Solution

The fourth proportional to 3,194.92, 4,792.07 and 1,003.59 is: 1,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.92 : 4,792.07 = 1,003.59 : x
  2. Step 2: Convert to fraction form
    3,194.92/4,792.07 = 1,003.59/x
  3. Step 3: Cross multiply
    3,194.92x = 4,792.07 × 1,003.59
  4. Step 4: Simplify right side
    3,194.92x = 4,809,268.51
  5. Step 5: Solve for x
    x = 4,809,268.51/3,194.92
  6. Step 6: Final answer
    x = 1,505.29

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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.