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Finding the Fourth Proportional to 2,276.90, 3,142.02 and 1,282.22

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Solution

The fourth proportional to 2,276.90, 3,142.02 and 1,282.22 is: 1,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.90 : 3,142.02 = 1,282.22 : x
  2. Step 2: Convert to fraction form
    2,276.90/3,142.02 = 1,282.22/x
  3. Step 3: Cross multiply
    2,276.90x = 3,142.02 × 1,282.22
  4. Step 4: Simplify right side
    2,276.90x = 4,028,760.88
  5. Step 5: Solve for x
    x = 4,028,760.88/2,276.90
  6. Step 6: Final answer
    x = 1,769.41

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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.