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Finding the Fourth Proportional to 2,971.71, 4,100.91 and 1,627.29

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Solution

The fourth proportional to 2,971.71, 4,100.91 and 1,627.29 is: 2,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.71 : 4,100.91 = 1,627.29 : x
  2. Step 2: Convert to fraction form
    2,971.71/4,100.91 = 1,627.29/x
  3. Step 3: Cross multiply
    2,971.71x = 4,100.91 × 1,627.29
  4. Step 4: Simplify right side
    2,971.71x = 6,673,349.33
  5. Step 5: Solve for x
    x = 6,673,349.33/2,971.71
  6. Step 6: Final answer
    x = 2,245.63

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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.