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Finding the Fourth Proportional to 2,424.94, 3,633.36 and 2,333.83

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Solution

The fourth proportional to 2,424.94, 3,633.36 and 2,333.83 is: 3,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.94 : 3,633.36 = 2,333.83 : x
  2. Step 2: Convert to fraction form
    2,424.94/3,633.36 = 2,333.83/x
  3. Step 3: Cross multiply
    2,424.94x = 3,633.36 × 2,333.83
  4. Step 4: Simplify right side
    2,424.94x = 8,479,644.57
  5. Step 5: Solve for x
    x = 8,479,644.57/2,424.94
  6. Step 6: Final answer
    x = 3,496.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.