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Finding the Fourth Proportional to 1,643.44, 2,462 and 1,294.94

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Solution

The fourth proportional to 1,643.44, 2,462 and 1,294.94 is: 1,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.44 : 2,462 = 1,294.94 : x
  2. Step 2: Convert to fraction form
    1,643.44/2,462 = 1,294.94/x
  3. Step 3: Cross multiply
    1,643.44x = 2,462 × 1,294.94
  4. Step 4: Simplify right side
    1,643.44x = 3,188,142.28
  5. Step 5: Solve for x
    x = 3,188,142.28/1,643.44
  6. Step 6: Final answer
    x = 1,939.92

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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.