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Finding the Fourth Proportional to 2,414.16, 3,620.16 and 1,116

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Solution

The fourth proportional to 2,414.16, 3,620.16 and 1,116 is: 1,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.16 : 3,620.16 = 1,116 : x
  2. Step 2: Convert to fraction form
    2,414.16/3,620.16 = 1,116/x
  3. Step 3: Cross multiply
    2,414.16x = 3,620.16 × 1,116
  4. Step 4: Simplify right side
    2,414.16x = 4,040,098.56
  5. Step 5: Solve for x
    x = 4,040,098.56/2,414.16
  6. Step 6: Final answer
    x = 1,673.50

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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.