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Finding the Fourth Proportional to 2,021.76, 3,031.02 and 1,200.42

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Solution

The fourth proportional to 2,021.76, 3,031.02 and 1,200.42 is: 1,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.76 : 3,031.02 = 1,200.42 : x
  2. Step 2: Convert to fraction form
    2,021.76/3,031.02 = 1,200.42/x
  3. Step 3: Cross multiply
    2,021.76x = 3,031.02 × 1,200.42
  4. Step 4: Simplify right side
    2,021.76x = 3,638,497.03
  5. Step 5: Solve for x
    x = 3,638,497.03/2,021.76
  6. Step 6: Final answer
    x = 1,799.67

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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.