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Finding the Fourth Proportional to 1,821.26, 2,732.52 and 998.48

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Solution

The fourth proportional to 1,821.26, 2,732.52 and 998.48 is: 1,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.26 : 2,732.52 = 998.48 : x
  2. Step 2: Convert to fraction form
    1,821.26/2,732.52 = 998.48/x
  3. Step 3: Cross multiply
    1,821.26x = 2,732.52 × 998.48
  4. Step 4: Simplify right side
    1,821.26x = 2,728,366.57
  5. Step 5: Solve for x
    x = 2,728,366.57/1,821.26
  6. Step 6: Final answer
    x = 1,498.07

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1.5x scale

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.