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Finding the Fourth Proportional to 2,468.68, 3,683.91 and 2,205.82

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Solution

The fourth proportional to 2,468.68, 3,683.91 and 2,205.82 is: 3,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.68 : 3,683.91 = 2,205.82 : x
  2. Step 2: Convert to fraction form
    2,468.68/3,683.91 = 2,205.82/x
  3. Step 3: Cross multiply
    2,468.68x = 3,683.91 × 2,205.82
  4. Step 4: Simplify right side
    2,468.68x = 8,126,031.33
  5. Step 5: Solve for x
    x = 8,126,031.33/2,468.68
  6. Step 6: Final answer
    x = 3,291.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.