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Finding the Fourth Proportional to 2,380.47, 3,576.11 and 2,052.42

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Solution

The fourth proportional to 2,380.47, 3,576.11 and 2,052.42 is: 3,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.47 : 3,576.11 = 2,052.42 : x
  2. Step 2: Convert to fraction form
    2,380.47/3,576.11 = 2,052.42/x
  3. Step 3: Cross multiply
    2,380.47x = 3,576.11 × 2,052.42
  4. Step 4: Simplify right side
    2,380.47x = 7,339,669.42
  5. Step 5: Solve for x
    x = 7,339,669.42/2,380.47
  6. Step 6: Final answer
    x = 3,083.29

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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.