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Finding the Fourth Proportional to 1,792.61, 2,474.63 and 1,196.09

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Solution

The fourth proportional to 1,792.61, 2,474.63 and 1,196.09 is: 1,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.61 : 2,474.63 = 1,196.09 : x
  2. Step 2: Convert to fraction form
    1,792.61/2,474.63 = 1,196.09/x
  3. Step 3: Cross multiply
    1,792.61x = 2,474.63 × 1,196.09
  4. Step 4: Simplify right side
    1,792.61x = 2,959,896.26
  5. Step 5: Solve for x
    x = 2,959,896.26/1,792.61
  6. Step 6: Final answer
    x = 1,651.17

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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.