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Finding the Fourth Proportional to 2,052.99, 3,072.60 and 1,563.21

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Solution

The fourth proportional to 2,052.99, 3,072.60 and 1,563.21 is: 2,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.99 : 3,072.60 = 1,563.21 : x
  2. Step 2: Convert to fraction form
    2,052.99/3,072.60 = 1,563.21/x
  3. Step 3: Cross multiply
    2,052.99x = 3,072.60 × 1,563.21
  4. Step 4: Simplify right side
    2,052.99x = 4,803,119.05
  5. Step 5: Solve for x
    x = 4,803,119.05/2,052.99
  6. Step 6: Final answer
    x = 2,339.57

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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.