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Finding the Fourth Proportional to 2,027.02, 3,046.02 and 1,103.26

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Solution

The fourth proportional to 2,027.02, 3,046.02 and 1,103.26 is: 1,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.02 : 3,046.02 = 1,103.26 : x
  2. Step 2: Convert to fraction form
    2,027.02/3,046.02 = 1,103.26/x
  3. Step 3: Cross multiply
    2,027.02x = 3,046.02 × 1,103.26
  4. Step 4: Simplify right side
    2,027.02x = 3,360,552.03
  5. Step 5: Solve for x
    x = 3,360,552.03/2,027.02
  6. Step 6: Final answer
    x = 1,657.88

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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.