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Finding the Fourth Proportional to 2,031.39, 3,045.29 and 799.67

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Solution

The fourth proportional to 2,031.39, 3,045.29 and 799.67 is: 1,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.39 : 3,045.29 = 799.67 : x
  2. Step 2: Convert to fraction form
    2,031.39/3,045.29 = 799.67/x
  3. Step 3: Cross multiply
    2,031.39x = 3,045.29 × 799.67
  4. Step 4: Simplify right side
    2,031.39x = 2,435,230.67
  5. Step 5: Solve for x
    x = 2,435,230.67/2,031.39
  6. Step 6: Final answer
    x = 1,198.80

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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.