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Finding the Fourth Proportional to 2,276.83, 3,142.13 and 1,282.18

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Solution

The fourth proportional to 2,276.83, 3,142.13 and 1,282.18 is: 1,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.83 : 3,142.13 = 1,282.18 : x
  2. Step 2: Convert to fraction form
    2,276.83/3,142.13 = 1,282.18/x
  3. Step 3: Cross multiply
    2,276.83x = 3,142.13 × 1,282.18
  4. Step 4: Simplify right side
    2,276.83x = 4,028,767.39
  5. Step 5: Solve for x
    x = 4,028,767.39/2,276.83
  6. Step 6: Final answer
    x = 1,769.46

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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.