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Finding the Fourth Proportional to 2,104.39, 3,157.27 and 643.55

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Solution

The fourth proportional to 2,104.39, 3,157.27 and 643.55 is: 965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.39 : 3,157.27 = 643.55 : x
  2. Step 2: Convert to fraction form
    2,104.39/3,157.27 = 643.55/x
  3. Step 3: Cross multiply
    2,104.39x = 3,157.27 × 643.55
  4. Step 4: Simplify right side
    2,104.39x = 2,031,843.71
  5. Step 5: Solve for x
    x = 2,031,843.71/2,104.39
  6. Step 6: Final answer
    x = 965.53

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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.