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Finding the Fourth Proportional to 2,674.92, 3,692.40 and 2,394.66

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Solution

The fourth proportional to 2,674.92, 3,692.40 and 2,394.66 is: 3,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.92 : 3,692.40 = 2,394.66 : x
  2. Step 2: Convert to fraction form
    2,674.92/3,692.40 = 2,394.66/x
  3. Step 3: Cross multiply
    2,674.92x = 3,692.40 × 2,394.66
  4. Step 4: Simplify right side
    2,674.92x = 8,842,042.58
  5. Step 5: Solve for x
    x = 8,842,042.58/2,674.92
  6. Step 6: Final answer
    x = 3,305.54

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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.