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Finding the Fourth Proportional to 2,104.43, 3,156.74 and 643.59

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Solution

The fourth proportional to 2,104.43, 3,156.74 and 643.59 is: 965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.43 : 3,156.74 = 643.59 : x
  2. Step 2: Convert to fraction form
    2,104.43/3,156.74 = 643.59/x
  3. Step 3: Cross multiply
    2,104.43x = 3,156.74 × 643.59
  4. Step 4: Simplify right side
    2,104.43x = 2,031,643.08
  5. Step 5: Solve for x
    x = 2,031,643.08/2,104.43
  6. Step 6: Final answer
    x = 965.41

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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.