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Finding the Fourth Proportional to 2,468.09, 3,406.91 and 1,683.20

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Solution

The fourth proportional to 2,468.09, 3,406.91 and 1,683.20 is: 2,323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.09 : 3,406.91 = 1,683.20 : x
  2. Step 2: Convert to fraction form
    2,468.09/3,406.91 = 1,683.20/x
  3. Step 3: Cross multiply
    2,468.09x = 3,406.91 × 1,683.20
  4. Step 4: Simplify right side
    2,468.09x = 5,734,485.46
  5. Step 5: Solve for x
    x = 5,734,485.46/2,468.09
  6. Step 6: Final answer
    x = 2,323.46

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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.