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Finding the Fourth Proportional to 2,643.39, 3,644.43 and 1,646.94

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Solution

The fourth proportional to 2,643.39, 3,644.43 and 1,646.94 is: 2,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.39 : 3,644.43 = 1,646.94 : x
  2. Step 2: Convert to fraction form
    2,643.39/3,644.43 = 1,646.94/x
  3. Step 3: Cross multiply
    2,643.39x = 3,644.43 × 1,646.94
  4. Step 4: Simplify right side
    2,643.39x = 6,002,157.54
  5. Step 5: Solve for x
    x = 6,002,157.54/2,643.39
  6. Step 6: Final answer
    x = 2,270.63

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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.