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Finding the Fourth Proportional to 1,792.67, 2,474.73 and 1,196.17

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Solution

The fourth proportional to 1,792.67, 2,474.73 and 1,196.17 is: 1,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.67 : 2,474.73 = 1,196.17 : x
  2. Step 2: Convert to fraction form
    1,792.67/2,474.73 = 1,196.17/x
  3. Step 3: Cross multiply
    1,792.67x = 2,474.73 × 1,196.17
  4. Step 4: Simplify right side
    1,792.67x = 2,960,191.60
  5. Step 5: Solve for x
    x = 2,960,191.60/1,792.67
  6. Step 6: Final answer
    x = 1,651.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.