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Finding the Fourth Proportional to 2,013.82, 3,019.21 and 1,320.67

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Solution

The fourth proportional to 2,013.82, 3,019.21 and 1,320.67 is: 1,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.82 : 3,019.21 = 1,320.67 : x
  2. Step 2: Convert to fraction form
    2,013.82/3,019.21 = 1,320.67/x
  3. Step 3: Cross multiply
    2,013.82x = 3,019.21 × 1,320.67
  4. Step 4: Simplify right side
    2,013.82x = 3,987,380.07
  5. Step 5: Solve for x
    x = 3,987,380.07/2,013.82
  6. Step 6: Final answer
    x = 1,980.01

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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.