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Finding the Fourth Proportional to 1,407.44, 2,108.42 and 1,081.24

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Solution

The fourth proportional to 1,407.44, 2,108.42 and 1,081.24 is: 1,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.44 : 2,108.42 = 1,081.24 : x
  2. Step 2: Convert to fraction form
    1,407.44/2,108.42 = 1,081.24/x
  3. Step 3: Cross multiply
    1,407.44x = 2,108.42 × 1,081.24
  4. Step 4: Simplify right side
    1,407.44x = 2,279,708.04
  5. Step 5: Solve for x
    x = 2,279,708.04/1,407.44
  6. Step 6: Final answer
    x = 1,619.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.