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Finding the Fourth Proportional to 1,821.30, 2,732.73 and 998.63

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Solution

The fourth proportional to 1,821.30, 2,732.73 and 998.63 is: 1,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.30 : 2,732.73 = 998.63 : x
  2. Step 2: Convert to fraction form
    1,821.30/2,732.73 = 998.63/x
  3. Step 3: Cross multiply
    1,821.30x = 2,732.73 × 998.63
  4. Step 4: Simplify right side
    1,821.30x = 2,728,972.50
  5. Step 5: Solve for x
    x = 2,728,972.50/1,821.30
  6. Step 6: Final answer
    x = 1,498.37

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Half scale
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Double scale
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Similar ratio
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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.