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Finding the Fourth Proportional to 2,015.21, 3,021.68 and 698.27

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Solution

The fourth proportional to 2,015.21, 3,021.68 and 698.27 is: 1,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.21 : 3,021.68 = 698.27 : x
  2. Step 2: Convert to fraction form
    2,015.21/3,021.68 = 698.27/x
  3. Step 3: Cross multiply
    2,015.21x = 3,021.68 × 698.27
  4. Step 4: Simplify right side
    2,015.21x = 2,109,929.89
  5. Step 5: Solve for x
    x = 2,109,929.89/2,015.21
  6. Step 6: Final answer
    x = 1,047.01

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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.