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Finding the Fourth Proportional to 3,193.07, 4,792.49 and 1,634.15

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Solution

The fourth proportional to 3,193.07, 4,792.49 and 1,634.15 is: 2,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.07 : 4,792.49 = 1,634.15 : x
  2. Step 2: Convert to fraction form
    3,193.07/4,792.49 = 1,634.15/x
  3. Step 3: Cross multiply
    3,193.07x = 4,792.49 × 1,634.15
  4. Step 4: Simplify right side
    3,193.07x = 7,831,615.40
  5. Step 5: Solve for x
    x = 7,831,615.40/3,193.07
  6. Step 6: Final answer
    x = 2,452.70

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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.