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Finding the Fourth Proportional to 1,279.36, 1,749.84 and 1,259.20

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Solution

The fourth proportional to 1,279.36, 1,749.84 and 1,259.20 is: 1,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.36 : 1,749.84 = 1,259.20 : x
  2. Step 2: Convert to fraction form
    1,279.36/1,749.84 = 1,259.20/x
  3. Step 3: Cross multiply
    1,279.36x = 1,749.84 × 1,259.20
  4. Step 4: Simplify right side
    1,279.36x = 2,203,398.53
  5. Step 5: Solve for x
    x = 2,203,398.53/1,279.36
  6. Step 6: Final answer
    x = 1,722.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.