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Finding the Fourth Proportional to 2,164.98, 2,987.38 and 1,220.62

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Solution

The fourth proportional to 2,164.98, 2,987.38 and 1,220.62 is: 1,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.98 : 2,987.38 = 1,220.62 : x
  2. Step 2: Convert to fraction form
    2,164.98/2,987.38 = 1,220.62/x
  3. Step 3: Cross multiply
    2,164.98x = 2,987.38 × 1,220.62
  4. Step 4: Simplify right side
    2,164.98x = 3,646,455.78
  5. Step 5: Solve for x
    x = 3,646,455.78/2,164.98
  6. Step 6: Final answer
    x = 1,684.29

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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.