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Finding the Fourth Proportional to 2,668.98, 3,682.24 and 1,549.30

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Solution

The fourth proportional to 2,668.98, 3,682.24 and 1,549.30 is: 2,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.98 : 3,682.24 = 1,549.30 : x
  2. Step 2: Convert to fraction form
    2,668.98/3,682.24 = 1,549.30/x
  3. Step 3: Cross multiply
    2,668.98x = 3,682.24 × 1,549.30
  4. Step 4: Simplify right side
    2,668.98x = 5,704,894.43
  5. Step 5: Solve for x
    x = 5,704,894.43/2,668.98
  6. Step 6: Final answer
    x = 2,137.48

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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.