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Finding the Fourth Proportional to 2,549.90, 3,824.94 and 818.66

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Solution

The fourth proportional to 2,549.90, 3,824.94 and 818.66 is: 1,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.90 : 3,824.94 = 818.66 : x
  2. Step 2: Convert to fraction form
    2,549.90/3,824.94 = 818.66/x
  3. Step 3: Cross multiply
    2,549.90x = 3,824.94 × 818.66
  4. Step 4: Simplify right side
    2,549.90x = 3,131,325.38
  5. Step 5: Solve for x
    x = 3,131,325.38/2,549.90
  6. Step 6: Final answer
    x = 1,228.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.