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Finding the Fourth Proportional to 2,961.79, 4,087.10 and 1,842.69

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Solution

The fourth proportional to 2,961.79, 4,087.10 and 1,842.69 is: 2,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.79 : 4,087.10 = 1,842.69 : x
  2. Step 2: Convert to fraction form
    2,961.79/4,087.10 = 1,842.69/x
  3. Step 3: Cross multiply
    2,961.79x = 4,087.10 × 1,842.69
  4. Step 4: Simplify right side
    2,961.79x = 7,531,262.91
  5. Step 5: Solve for x
    x = 7,531,262.91/2,961.79
  6. Step 6: Final answer
    x = 2,542.81

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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.