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Finding the Fourth Proportional to 2,093.22, 3,139.02 and 998.10

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Solution

The fourth proportional to 2,093.22, 3,139.02 and 998.10 is: 1,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.22 : 3,139.02 = 998.10 : x
  2. Step 2: Convert to fraction form
    2,093.22/3,139.02 = 998.10/x
  3. Step 3: Cross multiply
    2,093.22x = 3,139.02 × 998.10
  4. Step 4: Simplify right side
    2,093.22x = 3,133,055.86
  5. Step 5: Solve for x
    x = 3,133,055.86/2,093.22
  6. Step 6: Final answer
    x = 1,496.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.