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Finding the Fourth Proportional to 2,668.88, 3,682.46 and 1,549.18

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Solution

The fourth proportional to 2,668.88, 3,682.46 and 1,549.18 is: 2,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.88 : 3,682.46 = 1,549.18 : x
  2. Step 2: Convert to fraction form
    2,668.88/3,682.46 = 1,549.18/x
  3. Step 3: Cross multiply
    2,668.88x = 3,682.46 × 1,549.18
  4. Step 4: Simplify right side
    2,668.88x = 5,704,793.38
  5. Step 5: Solve for x
    x = 5,704,793.38/2,668.88
  6. Step 6: Final answer
    x = 2,137.52

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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.