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Finding the Fourth Proportional to 3,194.66, 4,792.66 and 1,003.54

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Solution

The fourth proportional to 3,194.66, 4,792.66 and 1,003.54 is: 1,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.66 : 4,792.66 = 1,003.54 : x
  2. Step 2: Convert to fraction form
    3,194.66/4,792.66 = 1,003.54/x
  3. Step 3: Cross multiply
    3,194.66x = 4,792.66 × 1,003.54
  4. Step 4: Simplify right side
    3,194.66x = 4,809,626.02
  5. Step 5: Solve for x
    x = 4,809,626.02/3,194.66
  6. Step 6: Final answer
    x = 1,505.52

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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.