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Finding the Fourth Proportional to 2,468.33, 3,405.98 and 1,406.23

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Solution

The fourth proportional to 2,468.33, 3,405.98 and 1,406.23 is: 1,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.33 : 3,405.98 = 1,406.23 : x
  2. Step 2: Convert to fraction form
    2,468.33/3,405.98 = 1,406.23/x
  3. Step 3: Cross multiply
    2,468.33x = 3,405.98 × 1,406.23
  4. Step 4: Simplify right side
    2,468.33x = 4,789,591.26
  5. Step 5: Solve for x
    x = 4,789,591.26/2,468.33
  6. Step 6: Final answer
    x = 1,940.42

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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.