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Finding the Fourth Proportional to 2,327, 3,207.43 and 1,619.87

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Solution

The fourth proportional to 2,327, 3,207.43 and 1,619.87 is: 2,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327 : 3,207.43 = 1,619.87 : x
  2. Step 2: Convert to fraction form
    2,327/3,207.43 = 1,619.87/x
  3. Step 3: Cross multiply
    2,327x = 3,207.43 × 1,619.87
  4. Step 4: Simplify right side
    2,327x = 5,195,619.63
  5. Step 5: Solve for x
    x = 5,195,619.63/2,327
  6. Step 6: Final answer
    x = 2,232.75

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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.