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Finding the Fourth Proportional to 2,969.97, 4,094.76 and 2,436.90

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Solution

The fourth proportional to 2,969.97, 4,094.76 and 2,436.90 is: 3,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.97 : 4,094.76 = 2,436.90 : x
  2. Step 2: Convert to fraction form
    2,969.97/4,094.76 = 2,436.90/x
  3. Step 3: Cross multiply
    2,969.97x = 4,094.76 × 2,436.90
  4. Step 4: Simplify right side
    2,969.97x = 9,978,520.64
  5. Step 5: Solve for x
    x = 9,978,520.64/2,969.97
  6. Step 6: Final answer
    x = 3,359.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.