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Finding the Fourth Proportional to 3,042.18, 4,563.54 and 850.93

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Solution

The fourth proportional to 3,042.18, 4,563.54 and 850.93 is: 1,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.18 : 4,563.54 = 850.93 : x
  2. Step 2: Convert to fraction form
    3,042.18/4,563.54 = 850.93/x
  3. Step 3: Cross multiply
    3,042.18x = 4,563.54 × 850.93
  4. Step 4: Simplify right side
    3,042.18x = 3,883,241.68
  5. Step 5: Solve for x
    x = 3,883,241.68/3,042.18
  6. Step 6: Final answer
    x = 1,276.47

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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.