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Finding the Fourth Proportional to 2,093.14, 3,139.71 and 998.27

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Solution

The fourth proportional to 2,093.14, 3,139.71 and 998.27 is: 1,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.14 : 3,139.71 = 998.27 : x
  2. Step 2: Convert to fraction form
    2,093.14/3,139.71 = 998.27/x
  3. Step 3: Cross multiply
    2,093.14x = 3,139.71 × 998.27
  4. Step 4: Simplify right side
    2,093.14x = 3,134,278.30
  5. Step 5: Solve for x
    x = 3,134,278.30/2,093.14
  6. Step 6: Final answer
    x = 1,497.41

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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.