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Finding the Fourth Proportional to 2,684.78, 4,024.21 and 2,024.54

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Solution

The fourth proportional to 2,684.78, 4,024.21 and 2,024.54 is: 3,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.78 : 4,024.21 = 2,024.54 : x
  2. Step 2: Convert to fraction form
    2,684.78/4,024.21 = 2,024.54/x
  3. Step 3: Cross multiply
    2,684.78x = 4,024.21 × 2,024.54
  4. Step 4: Simplify right side
    2,684.78x = 8,147,174.11
  5. Step 5: Solve for x
    x = 8,147,174.11/2,684.78
  6. Step 6: Final answer
    x = 3,034.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.