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Finding the Fourth Proportional to 2,468.27, 3,406.53 and 1,406.41

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Solution

The fourth proportional to 2,468.27, 3,406.53 and 1,406.41 is: 1,941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.27 : 3,406.53 = 1,406.41 : x
  2. Step 2: Convert to fraction form
    2,468.27/3,406.53 = 1,406.41/x
  3. Step 3: Cross multiply
    2,468.27x = 3,406.53 × 1,406.41
  4. Step 4: Simplify right side
    2,468.27x = 4,790,992.43
  5. Step 5: Solve for x
    x = 4,790,992.43/2,468.27
  6. Step 6: Final answer
    x = 1,941.03

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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.