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Finding the Fourth Proportional to 2,001.02, 2,762.01 and 1,161.92

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Solution

The fourth proportional to 2,001.02, 2,762.01 and 1,161.92 is: 1,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.02 : 2,762.01 = 1,161.92 : x
  2. Step 2: Convert to fraction form
    2,001.02/2,762.01 = 1,161.92/x
  3. Step 3: Cross multiply
    2,001.02x = 2,762.01 × 1,161.92
  4. Step 4: Simplify right side
    2,001.02x = 3,209,241.56
  5. Step 5: Solve for x
    x = 3,209,241.56/2,001.02
  6. Step 6: Final answer
    x = 1,603.81

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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.