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Finding the Fourth Proportional to 2,466.84, 3,682.59 and 2,286.84

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Solution

The fourth proportional to 2,466.84, 3,682.59 and 2,286.84 is: 3,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.84 : 3,682.59 = 2,286.84 : x
  2. Step 2: Convert to fraction form
    2,466.84/3,682.59 = 2,286.84/x
  3. Step 3: Cross multiply
    2,466.84x = 3,682.59 × 2,286.84
  4. Step 4: Simplify right side
    2,466.84x = 8,421,494.12
  5. Step 5: Solve for x
    x = 8,421,494.12/2,466.84
  6. Step 6: Final answer
    x = 3,413.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.