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Finding the Fourth Proportional to 2,950.39, 4,076.58 and 2,576.80

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Solution

The fourth proportional to 2,950.39, 4,076.58 and 2,576.80 is: 3,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.39 : 4,076.58 = 2,576.80 : x
  2. Step 2: Convert to fraction form
    2,950.39/4,076.58 = 2,576.80/x
  3. Step 3: Cross multiply
    2,950.39x = 4,076.58 × 2,576.80
  4. Step 4: Simplify right side
    2,950.39x = 10,504,531.34
  5. Step 5: Solve for x
    x = 10,504,531.34/2,950.39
  6. Step 6: Final answer
    x = 3,560.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.