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Finding the Fourth Proportional to 1,987.97, 2,743.40 and 1,202.01

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Solution

The fourth proportional to 1,987.97, 2,743.40 and 1,202.01 is: 1,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.97 : 2,743.40 = 1,202.01 : x
  2. Step 2: Convert to fraction form
    1,987.97/2,743.40 = 1,202.01/x
  3. Step 3: Cross multiply
    1,987.97x = 2,743.40 × 1,202.01
  4. Step 4: Simplify right side
    1,987.97x = 3,297,588.22
  5. Step 5: Solve for x
    x = 3,297,588.22/1,987.97
  6. Step 6: Final answer
    x = 1,658.78

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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.