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Finding the Fourth Proportional to 2,262.81, 3,122.73 and 1,268.04

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Solution

The fourth proportional to 2,262.81, 3,122.73 and 1,268.04 is: 1,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.81 : 3,122.73 = 1,268.04 : x
  2. Step 2: Convert to fraction form
    2,262.81/3,122.73 = 1,268.04/x
  3. Step 3: Cross multiply
    2,262.81x = 3,122.73 × 1,268.04
  4. Step 4: Simplify right side
    2,262.81x = 3,959,746.55
  5. Step 5: Solve for x
    x = 3,959,746.55/2,262.81
  6. Step 6: Final answer
    x = 1,749.92

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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.