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Finding the Fourth Proportional to 2,268.06, 3,402.84 and 1,113

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Solution

The fourth proportional to 2,268.06, 3,402.84 and 1,113 is: 1,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.06 : 3,402.84 = 1,113 : x
  2. Step 2: Convert to fraction form
    2,268.06/3,402.84 = 1,113/x
  3. Step 3: Cross multiply
    2,268.06x = 3,402.84 × 1,113
  4. Step 4: Simplify right side
    2,268.06x = 3,787,360.92
  5. Step 5: Solve for x
    x = 3,787,360.92/2,268.06
  6. Step 6: Final answer
    x = 1,669.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.