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Finding the Fourth Proportional to 2,013.89, 3,021.32 and 843.24

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Solution

The fourth proportional to 2,013.89, 3,021.32 and 843.24 is: 1,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.89 : 3,021.32 = 843.24 : x
  2. Step 2: Convert to fraction form
    2,013.89/3,021.32 = 843.24/x
  3. Step 3: Cross multiply
    2,013.89x = 3,021.32 × 843.24
  4. Step 4: Simplify right side
    2,013.89x = 2,547,697.88
  5. Step 5: Solve for x
    x = 2,547,697.88/2,013.89
  6. Step 6: Final answer
    x = 1,265.06

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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.