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Finding the Fourth Proportional to 2,940.88, 4,408.76 and 1,644.24

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Solution

The fourth proportional to 2,940.88, 4,408.76 and 1,644.24 is: 2,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.88 : 4,408.76 = 1,644.24 : x
  2. Step 2: Convert to fraction form
    2,940.88/4,408.76 = 1,644.24/x
  3. Step 3: Cross multiply
    2,940.88x = 4,408.76 × 1,644.24
  4. Step 4: Simplify right side
    2,940.88x = 7,249,059.54
  5. Step 5: Solve for x
    x = 7,249,059.54/2,940.88
  6. Step 6: Final answer
    x = 2,464.93

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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.