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Finding the Fourth Proportional to 2,984.61, 4,469.63 and 2,576.37

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Solution

The fourth proportional to 2,984.61, 4,469.63 and 2,576.37 is: 3,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.61 : 4,469.63 = 2,576.37 : x
  2. Step 2: Convert to fraction form
    2,984.61/4,469.63 = 2,576.37/x
  3. Step 3: Cross multiply
    2,984.61x = 4,469.63 × 2,576.37
  4. Step 4: Simplify right side
    2,984.61x = 11,515,407.76
  5. Step 5: Solve for x
    x = 11,515,407.76/2,984.61
  6. Step 6: Final answer
    x = 3,858.26

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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.