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Finding the Fourth Proportional to 2,268.64, 3,400.32 and 968.88

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Solution

The fourth proportional to 2,268.64, 3,400.32 and 968.88 is: 1,452.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.64 : 3,400.32 = 968.88 : x
  2. Step 2: Convert to fraction form
    2,268.64/3,400.32 = 968.88/x
  3. Step 3: Cross multiply
    2,268.64x = 3,400.32 × 968.88
  4. Step 4: Simplify right side
    2,268.64x = 3,294,502.04
  5. Step 5: Solve for x
    x = 3,294,502.04/2,268.64
  6. Step 6: Final answer
    x = 1,452.19

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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.