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Finding the Fourth Proportional to 3,218.94, 4,824.09 and 2,648.70

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Solution

The fourth proportional to 3,218.94, 4,824.09 and 2,648.70 is: 3,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.94 : 4,824.09 = 2,648.70 : x
  2. Step 2: Convert to fraction form
    3,218.94/4,824.09 = 2,648.70/x
  3. Step 3: Cross multiply
    3,218.94x = 4,824.09 × 2,648.70
  4. Step 4: Simplify right side
    3,218.94x = 12,777,567.18
  5. Step 5: Solve for x
    x = 12,777,567.18/3,218.94
  6. Step 6: Final answer
    x = 3,969.50

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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.