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Finding the Fourth Proportional to 2,576.80, 3,879.12 and 2,347.16

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Solution

The fourth proportional to 2,576.80, 3,879.12 and 2,347.16 is: 3,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.80 : 3,879.12 = 2,347.16 : x
  2. Step 2: Convert to fraction form
    2,576.80/3,879.12 = 2,347.16/x
  3. Step 3: Cross multiply
    2,576.80x = 3,879.12 × 2,347.16
  4. Step 4: Simplify right side
    2,576.80x = 9,104,915.30
  5. Step 5: Solve for x
    x = 9,104,915.30/2,576.80
  6. Step 6: Final answer
    x = 3,533.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.