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Finding the Fourth Proportional to 2,042.28, 3,059.34 and 945.18

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Solution

The fourth proportional to 2,042.28, 3,059.34 and 945.18 is: 1,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.28 : 3,059.34 = 945.18 : x
  2. Step 2: Convert to fraction form
    2,042.28/3,059.34 = 945.18/x
  3. Step 3: Cross multiply
    2,042.28x = 3,059.34 × 945.18
  4. Step 4: Simplify right side
    2,042.28x = 2,891,626.98
  5. Step 5: Solve for x
    x = 2,891,626.98/2,042.28
  6. Step 6: Final answer
    x = 1,415.88

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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.