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Finding the Fourth Proportional to 3,126.78, 4,690.17 and 818.28

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Solution

The fourth proportional to 3,126.78, 4,690.17 and 818.28 is: 1,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.78 : 4,690.17 = 818.28 : x
  2. Step 2: Convert to fraction form
    3,126.78/4,690.17 = 818.28/x
  3. Step 3: Cross multiply
    3,126.78x = 4,690.17 × 818.28
  4. Step 4: Simplify right side
    3,126.78x = 3,837,872.31
  5. Step 5: Solve for x
    x = 3,837,872.31/3,126.78
  6. Step 6: Final answer
    x = 1,227.42

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