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Finding the Fourth Proportional to 1,963.04, 2,942.12 and 1,743.12

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Solution

The fourth proportional to 1,963.04, 2,942.12 and 1,743.12 is: 2,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.04 : 2,942.12 = 1,743.12 : x
  2. Step 2: Convert to fraction form
    1,963.04/2,942.12 = 1,743.12/x
  3. Step 3: Cross multiply
    1,963.04x = 2,942.12 × 1,743.12
  4. Step 4: Simplify right side
    1,963.04x = 5,128,472.57
  5. Step 5: Solve for x
    x = 5,128,472.57/1,963.04
  6. Step 6: Final answer
    x = 2,612.52

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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.