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Finding the Fourth Proportional to 2,268.66, 3,403.02 and 969.18

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Solution

The fourth proportional to 2,268.66, 3,403.02 and 969.18 is: 1,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.66 : 3,403.02 = 969.18 : x
  2. Step 2: Convert to fraction form
    2,268.66/3,403.02 = 969.18/x
  3. Step 3: Cross multiply
    2,268.66x = 3,403.02 × 969.18
  4. Step 4: Simplify right side
    2,268.66x = 3,298,138.92
  5. Step 5: Solve for x
    x = 3,298,138.92/2,268.66
  6. Step 6: Final answer
    x = 1,453.78

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Why These Related Problems?

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