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Finding the Fourth Proportional to 2,668.26, 3,673.48 and 2,318.80

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Solution

The fourth proportional to 2,668.26, 3,673.48 and 2,318.80 is: 3,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.26 : 3,673.48 = 2,318.80 : x
  2. Step 2: Convert to fraction form
    2,668.26/3,673.48 = 2,318.80/x
  3. Step 3: Cross multiply
    2,668.26x = 3,673.48 × 2,318.80
  4. Step 4: Simplify right side
    2,668.26x = 8,518,065.42
  5. Step 5: Solve for x
    x = 8,518,065.42/2,668.26
  6. Step 6: Final answer
    x = 3,192.37

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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.