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Finding the Fourth Proportional to 2,946.42, 4,067.04 and 1,951.80

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Solution

The fourth proportional to 2,946.42, 4,067.04 and 1,951.80 is: 2,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.42 : 4,067.04 = 1,951.80 : x
  2. Step 2: Convert to fraction form
    2,946.42/4,067.04 = 1,951.80/x
  3. Step 3: Cross multiply
    2,946.42x = 4,067.04 × 1,951.80
  4. Step 4: Simplify right side
    2,946.42x = 7,938,048.67
  5. Step 5: Solve for x
    x = 7,938,048.67/2,946.42
  6. Step 6: Final answer
    x = 2,694.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.