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Finding the Fourth Proportional to 2,062.22, 2,845.86 and 1,118.01

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Solution

The fourth proportional to 2,062.22, 2,845.86 and 1,118.01 is: 1,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.22 : 2,845.86 = 1,118.01 : x
  2. Step 2: Convert to fraction form
    2,062.22/2,845.86 = 1,118.01/x
  3. Step 3: Cross multiply
    2,062.22x = 2,845.86 × 1,118.01
  4. Step 4: Simplify right side
    2,062.22x = 3,181,699.94
  5. Step 5: Solve for x
    x = 3,181,699.94/2,062.22
  6. Step 6: Final answer
    x = 1,542.86

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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.