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Finding the Fourth Proportional to 3,297.51, 4,947.08 and 1,837.89

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Solution

The fourth proportional to 3,297.51, 4,947.08 and 1,837.89 is: 2,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.51 : 4,947.08 = 1,837.89 : x
  2. Step 2: Convert to fraction form
    3,297.51/4,947.08 = 1,837.89/x
  3. Step 3: Cross multiply
    3,297.51x = 4,947.08 × 1,837.89
  4. Step 4: Simplify right side
    3,297.51x = 9,092,179.67
  5. Step 5: Solve for x
    x = 9,092,179.67/3,297.51
  6. Step 6: Final answer
    x = 2,757.29

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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.