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Finding the Fourth Proportional to 1,468.97, 2,203.43 and 1,294.01

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Solution

The fourth proportional to 1,468.97, 2,203.43 and 1,294.01 is: 1,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.97 : 2,203.43 = 1,294.01 : x
  2. Step 2: Convert to fraction form
    1,468.97/2,203.43 = 1,294.01/x
  3. Step 3: Cross multiply
    1,468.97x = 2,203.43 × 1,294.01
  4. Step 4: Simplify right side
    1,468.97x = 2,851,249.44
  5. Step 5: Solve for x
    x = 2,851,249.44/1,468.97
  6. Step 6: Final answer
    x = 1,940.99

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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.