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Finding the Fourth Proportional to 2,017.47, 3,009.82 and 1,908.48

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Solution

The fourth proportional to 2,017.47, 3,009.82 and 1,908.48 is: 2,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.47 : 3,009.82 = 1,908.48 : x
  2. Step 2: Convert to fraction form
    2,017.47/3,009.82 = 1,908.48/x
  3. Step 3: Cross multiply
    2,017.47x = 3,009.82 × 1,908.48
  4. Step 4: Simplify right side
    2,017.47x = 5,744,181.27
  5. Step 5: Solve for x
    x = 5,744,181.27/2,017.47
  6. Step 6: Final answer
    x = 2,847.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.