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Finding the Fourth Proportional to 2,834.68, 4,254.23 and 1,963.29

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Solution

The fourth proportional to 2,834.68, 4,254.23 and 1,963.29 is: 2,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.68 : 4,254.23 = 1,963.29 : x
  2. Step 2: Convert to fraction form
    2,834.68/4,254.23 = 1,963.29/x
  3. Step 3: Cross multiply
    2,834.68x = 4,254.23 × 1,963.29
  4. Step 4: Simplify right side
    2,834.68x = 8,352,284.15
  5. Step 5: Solve for x
    x = 8,352,284.15/2,834.68
  6. Step 6: Final answer
    x = 2,946.47

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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.