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Finding the Fourth Proportional to 3,042.59, 4,562.01 and 1,194.57

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Solution

The fourth proportional to 3,042.59, 4,562.01 and 1,194.57 is: 1,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.59 : 4,562.01 = 1,194.57 : x
  2. Step 2: Convert to fraction form
    3,042.59/4,562.01 = 1,194.57/x
  3. Step 3: Cross multiply
    3,042.59x = 4,562.01 × 1,194.57
  4. Step 4: Simplify right side
    3,042.59x = 5,449,640.29
  5. Step 5: Solve for x
    x = 5,449,640.29/3,042.59
  6. Step 6: Final answer
    x = 1,791.12

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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.