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Finding the Fourth Proportional to 2,684.16, 4,026.38 and 736.38

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Solution

The fourth proportional to 2,684.16, 4,026.38 and 736.38 is: 1,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.16 : 4,026.38 = 736.38 : x
  2. Step 2: Convert to fraction form
    2,684.16/4,026.38 = 736.38/x
  3. Step 3: Cross multiply
    2,684.16x = 4,026.38 × 736.38
  4. Step 4: Simplify right side
    2,684.16x = 2,964,942.02
  5. Step 5: Solve for x
    x = 2,964,942.02/2,684.16
  6. Step 6: Final answer
    x = 1,104.61

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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.