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Finding the Fourth Proportional to 3,042.73, 4,564.10 and 1,194.71

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Solution

The fourth proportional to 3,042.73, 4,564.10 and 1,194.71 is: 1,792.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.73 : 4,564.10 = 1,194.71 : x
  2. Step 2: Convert to fraction form
    3,042.73/4,564.10 = 1,194.71/x
  3. Step 3: Cross multiply
    3,042.73x = 4,564.10 × 1,194.71
  4. Step 4: Simplify right side
    3,042.73x = 5,452,781.35
  5. Step 5: Solve for x
    x = 5,452,781.35/3,042.73
  6. Step 6: Final answer
    x = 1,792.07

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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.