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Finding the Fourth Proportional to 2,474.16, 3,679.39 and 2,396.28

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Solution

The fourth proportional to 2,474.16, 3,679.39 and 2,396.28 is: 3,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.16 : 3,679.39 = 2,396.28 : x
  2. Step 2: Convert to fraction form
    2,474.16/3,679.39 = 2,396.28/x
  3. Step 3: Cross multiply
    2,474.16x = 3,679.39 × 2,396.28
  4. Step 4: Simplify right side
    2,474.16x = 8,816,848.67
  5. Step 5: Solve for x
    x = 8,816,848.67/2,474.16
  6. Step 6: Final answer
    x = 3,563.57

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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.