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Finding the Fourth Proportional to 2,263, 3,122.76 and 1,268.23

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Solution

The fourth proportional to 2,263, 3,122.76 and 1,268.23 is: 1,750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263 : 3,122.76 = 1,268.23 : x
  2. Step 2: Convert to fraction form
    2,263/3,122.76 = 1,268.23/x
  3. Step 3: Cross multiply
    2,263x = 3,122.76 × 1,268.23
  4. Step 4: Simplify right side
    2,263x = 3,960,377.91
  5. Step 5: Solve for x
    x = 3,960,377.91/2,263
  6. Step 6: Final answer
    x = 1,750.06

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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.