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Finding the Fourth Proportional to 2,946.69, 4,070.01 and 2,203.92

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Solution

The fourth proportional to 2,946.69, 4,070.01 and 2,203.92 is: 3,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.69 : 4,070.01 = 2,203.92 : x
  2. Step 2: Convert to fraction form
    2,946.69/4,070.01 = 2,203.92/x
  3. Step 3: Cross multiply
    2,946.69x = 4,070.01 × 2,203.92
  4. Step 4: Simplify right side
    2,946.69x = 8,969,976.44
  5. Step 5: Solve for x
    x = 8,969,976.44/2,946.69
  6. Step 6: Final answer
    x = 3,044.09

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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.