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Finding the Fourth Proportional to 2,031.21, 3,051.95 and 1,949.20

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Solution

The fourth proportional to 2,031.21, 3,051.95 and 1,949.20 is: 2,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.21 : 3,051.95 = 1,949.20 : x
  2. Step 2: Convert to fraction form
    2,031.21/3,051.95 = 1,949.20/x
  3. Step 3: Cross multiply
    2,031.21x = 3,051.95 × 1,949.20
  4. Step 4: Simplify right side
    2,031.21x = 5,948,860.01
  5. Step 5: Solve for x
    x = 5,948,860.01/2,031.21
  6. Step 6: Final answer
    x = 2,928.73

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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.