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Finding the Fourth Proportional to 1,643.43, 2,268.13 and 935.44

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Solution

The fourth proportional to 1,643.43, 2,268.13 and 935.44 is: 1,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.43 : 2,268.13 = 935.44 : x
  2. Step 2: Convert to fraction form
    1,643.43/2,268.13 = 935.44/x
  3. Step 3: Cross multiply
    1,643.43x = 2,268.13 × 935.44
  4. Step 4: Simplify right side
    1,643.43x = 2,121,700.02
  5. Step 5: Solve for x
    x = 2,121,700.02/1,643.43
  6. Step 6: Final answer
    x = 1,291.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.