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Finding the Fourth Proportional to 2,064.44, 3,098.02 and 1,091.22

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Solution

The fourth proportional to 2,064.44, 3,098.02 and 1,091.22 is: 1,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.44 : 3,098.02 = 1,091.22 : x
  2. Step 2: Convert to fraction form
    2,064.44/3,098.02 = 1,091.22/x
  3. Step 3: Cross multiply
    2,064.44x = 3,098.02 × 1,091.22
  4. Step 4: Simplify right side
    2,064.44x = 3,380,621.38
  5. Step 5: Solve for x
    x = 3,380,621.38/2,064.44
  6. Step 6: Final answer
    x = 1,637.55

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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.