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Finding the Fourth Proportional to 2,468.30, 3,405.11 and 1,683.41

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Solution

The fourth proportional to 2,468.30, 3,405.11 and 1,683.41 is: 2,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.30 : 3,405.11 = 1,683.41 : x
  2. Step 2: Convert to fraction form
    2,468.30/3,405.11 = 1,683.41/x
  3. Step 3: Cross multiply
    2,468.30x = 3,405.11 × 1,683.41
  4. Step 4: Simplify right side
    2,468.30x = 5,732,170.78
  5. Step 5: Solve for x
    x = 5,732,170.78/2,468.30
  6. Step 6: Final answer
    x = 2,322.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.