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Finding the Fourth Proportional to 2,414.16, 3,309.21 and 2,381.37

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Solution

The fourth proportional to 2,414.16, 3,309.21 and 2,381.37 is: 3,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.16 : 3,309.21 = 2,381.37 : x
  2. Step 2: Convert to fraction form
    2,414.16/3,309.21 = 2,381.37/x
  3. Step 3: Cross multiply
    2,414.16x = 3,309.21 × 2,381.37
  4. Step 4: Simplify right side
    2,414.16x = 7,880,453.42
  5. Step 5: Solve for x
    x = 7,880,453.42/2,414.16
  6. Step 6: Final answer
    x = 3,264.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.