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Finding the Fourth Proportional to 1,739.36, 2,402.22 and 1,182.44

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Solution

The fourth proportional to 1,739.36, 2,402.22 and 1,182.44 is: 1,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.36 : 2,402.22 = 1,182.44 : x
  2. Step 2: Convert to fraction form
    1,739.36/2,402.22 = 1,182.44/x
  3. Step 3: Cross multiply
    1,739.36x = 2,402.22 × 1,182.44
  4. Step 4: Simplify right side
    1,739.36x = 2,840,481.02
  5. Step 5: Solve for x
    x = 2,840,481.02/1,739.36
  6. Step 6: Final answer
    x = 1,633.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.