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Finding the Fourth Proportional to 1,197.28, 1,792.68 and 1,185.94

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Solution

The fourth proportional to 1,197.28, 1,792.68 and 1,185.94 is: 1,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.28 : 1,792.68 = 1,185.94 : x
  2. Step 2: Convert to fraction form
    1,197.28/1,792.68 = 1,185.94/x
  3. Step 3: Cross multiply
    1,197.28x = 1,792.68 × 1,185.94
  4. Step 4: Simplify right side
    1,197.28x = 2,126,010.92
  5. Step 5: Solve for x
    x = 2,126,010.92/1,197.28
  6. Step 6: Final answer
    x = 1,775.70

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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.