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Finding the Fourth Proportional to 1,380.72, 2,054.20 and 1,327.26

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Solution

The fourth proportional to 1,380.72, 2,054.20 and 1,327.26 is: 1,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.72 : 2,054.20 = 1,327.26 : x
  2. Step 2: Convert to fraction form
    1,380.72/2,054.20 = 1,327.26/x
  3. Step 3: Cross multiply
    1,380.72x = 2,054.20 × 1,327.26
  4. Step 4: Simplify right side
    1,380.72x = 2,726,457.49
  5. Step 5: Solve for x
    x = 2,726,457.49/1,380.72
  6. Step 6: Final answer
    x = 1,974.66

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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.