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Finding the Fourth Proportional to 1,996.02, 2,987.50 and 1,468.79

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Solution

The fourth proportional to 1,996.02, 2,987.50 and 1,468.79 is: 2,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.02 : 2,987.50 = 1,468.79 : x
  2. Step 2: Convert to fraction form
    1,996.02/2,987.50 = 1,468.79/x
  3. Step 3: Cross multiply
    1,996.02x = 2,987.50 × 1,468.79
  4. Step 4: Simplify right side
    1,996.02x = 4,388,001.27
  5. Step 5: Solve for x
    x = 4,388,001.27/1,996.02
  6. Step 6: Final answer
    x = 2,198.37

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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.