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Finding the Fourth Proportional to 1,821.26, 2,730.73 and 847.66

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Solution

The fourth proportional to 1,821.26, 2,730.73 and 847.66 is: 1,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.26 : 2,730.73 = 847.66 : x
  2. Step 2: Convert to fraction form
    1,821.26/2,730.73 = 847.66/x
  3. Step 3: Cross multiply
    1,821.26x = 2,730.73 × 847.66
  4. Step 4: Simplify right side
    1,821.26x = 2,314,730.59
  5. Step 5: Solve for x
    x = 2,314,730.59/1,821.26
  6. Step 6: Final answer
    x = 1,270.95

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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.