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Finding the Fourth Proportional to 2,162.44, 2,984.42 and 1,231.08

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Solution

The fourth proportional to 2,162.44, 2,984.42 and 1,231.08 is: 1,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.44 : 2,984.42 = 1,231.08 : x
  2. Step 2: Convert to fraction form
    2,162.44/2,984.42 = 1,231.08/x
  3. Step 3: Cross multiply
    2,162.44x = 2,984.42 × 1,231.08
  4. Step 4: Simplify right side
    2,162.44x = 3,674,059.77
  5. Step 5: Solve for x
    x = 3,674,059.77/2,162.44
  6. Step 6: Final answer
    x = 1,699.03

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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.