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Finding the Fourth Proportional to 1,822.39, 2,516.18 and 1,450.26

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Solution

The fourth proportional to 1,822.39, 2,516.18 and 1,450.26 is: 2,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.39 : 2,516.18 = 1,450.26 : x
  2. Step 2: Convert to fraction form
    1,822.39/2,516.18 = 1,450.26/x
  3. Step 3: Cross multiply
    1,822.39x = 2,516.18 × 1,450.26
  4. Step 4: Simplify right side
    1,822.39x = 3,649,107.96
  5. Step 5: Solve for x
    x = 3,649,107.96/1,822.39
  6. Step 6: Final answer
    x = 2,002.38

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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.