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Finding the Fourth Proportional to 2,276.76, 3,141.90 and 1,282.26

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Solution

The fourth proportional to 2,276.76, 3,141.90 and 1,282.26 is: 1,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.76 : 3,141.90 = 1,282.26 : x
  2. Step 2: Convert to fraction form
    2,276.76/3,141.90 = 1,282.26/x
  3. Step 3: Cross multiply
    2,276.76x = 3,141.90 × 1,282.26
  4. Step 4: Simplify right side
    2,276.76x = 4,028,732.69
  5. Step 5: Solve for x
    x = 4,028,732.69/2,276.76
  6. Step 6: Final answer
    x = 1,769.50

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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.