Home / 2,971.72-4,100.80-1,645.35

Finding the Fourth Proportional to 2,971.72, 4,100.80 and 1,645.35

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Solution

The fourth proportional to 2,971.72, 4,100.80 and 1,645.35 is: 2,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.72 : 4,100.80 = 1,645.35 : x
  2. Step 2: Convert to fraction form
    2,971.72/4,100.80 = 1,645.35/x
  3. Step 3: Cross multiply
    2,971.72x = 4,100.80 × 1,645.35
  4. Step 4: Simplify right side
    2,971.72x = 6,747,251.28
  5. Step 5: Solve for x
    x = 6,747,251.28/2,971.72
  6. Step 6: Final answer
    x = 2,270.49

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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.