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Finding the Fourth Proportional to 2,942.43, 4,414.07 and 995.19

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Solution

The fourth proportional to 2,942.43, 4,414.07 and 995.19 is: 1,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.43 : 4,414.07 = 995.19 : x
  2. Step 2: Convert to fraction form
    2,942.43/4,414.07 = 995.19/x
  3. Step 3: Cross multiply
    2,942.43x = 4,414.07 × 995.19
  4. Step 4: Simplify right side
    2,942.43x = 4,392,840.81
  5. Step 5: Solve for x
    x = 4,392,840.81/2,942.43
  6. Step 6: Final answer
    x = 1,492.93

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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.