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Finding the Fourth Proportional to 1,194.60, 1,792.86 and 1,100.52

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Solution

The fourth proportional to 1,194.60, 1,792.86 and 1,100.52 is: 1,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.60 : 1,792.86 = 1,100.52 : x
  2. Step 2: Convert to fraction form
    1,194.60/1,792.86 = 1,100.52/x
  3. Step 3: Cross multiply
    1,194.60x = 1,792.86 × 1,100.52
  4. Step 4: Simplify right side
    1,194.60x = 1,973,078.29
  5. Step 5: Solve for x
    x = 1,973,078.29/1,194.60
  6. Step 6: Final answer
    x = 1,651.66

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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.