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Finding the Fourth Proportional to 2,276.68, 3,141.74 and 1,282.00

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Solution

The fourth proportional to 2,276.68, 3,141.74 and 1,282.00 is: 1,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.68 : 3,141.74 = 1,282.00 : x
  2. Step 2: Convert to fraction form
    2,276.68/3,141.74 = 1,282.00/x
  3. Step 3: Cross multiply
    2,276.68x = 3,141.74 × 1,282.00
  4. Step 4: Simplify right side
    2,276.68x = 4,027,713.55
  5. Step 5: Solve for x
    x = 4,027,713.55/2,276.68
  6. Step 6: Final answer
    x = 1,769.12

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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.