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Finding the Fourth Proportional to 2,229.53, 3,074.23 and 1,668.20

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Solution

The fourth proportional to 2,229.53, 3,074.23 and 1,668.20 is: 2,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.53 : 3,074.23 = 1,668.20 : x
  2. Step 2: Convert to fraction form
    2,229.53/3,074.23 = 1,668.20/x
  3. Step 3: Cross multiply
    2,229.53x = 3,074.23 × 1,668.20
  4. Step 4: Simplify right side
    2,229.53x = 5,128,430.49
  5. Step 5: Solve for x
    x = 5,128,430.49/2,229.53
  6. Step 6: Final answer
    x = 2,300.23

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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.