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Finding the Fourth Proportional to 1,297.56, 1,945.98 and 1,092.18

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Solution

The fourth proportional to 1,297.56, 1,945.98 and 1,092.18 is: 1,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.56 : 1,945.98 = 1,092.18 : x
  2. Step 2: Convert to fraction form
    1,297.56/1,945.98 = 1,092.18/x
  3. Step 3: Cross multiply
    1,297.56x = 1,945.98 × 1,092.18
  4. Step 4: Simplify right side
    1,297.56x = 2,125,360.44
  5. Step 5: Solve for x
    x = 2,125,360.44/1,297.56
  6. Step 6: Final answer
    x = 1,637.97

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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.