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Finding the Fourth Proportional to 2,942.38, 4,054.62 and 2,100.71

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Solution

The fourth proportional to 2,942.38, 4,054.62 and 2,100.71 is: 2,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.38 : 4,054.62 = 2,100.71 : x
  2. Step 2: Convert to fraction form
    2,942.38/4,054.62 = 2,100.71/x
  3. Step 3: Cross multiply
    2,942.38x = 4,054.62 × 2,100.71
  4. Step 4: Simplify right side
    2,942.38x = 8,517,590.92
  5. Step 5: Solve for x
    x = 8,517,590.92/2,942.38
  6. Step 6: Final answer
    x = 2,894.80

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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.