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Finding the Fourth Proportional to 2,952.63, 4,429.41 and 872.84

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Solution

The fourth proportional to 2,952.63, 4,429.41 and 872.84 is: 1,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.63 : 4,429.41 = 872.84 : x
  2. Step 2: Convert to fraction form
    2,952.63/4,429.41 = 872.84/x
  3. Step 3: Cross multiply
    2,952.63x = 4,429.41 × 872.84
  4. Step 4: Simplify right side
    2,952.63x = 3,866,144.08
  5. Step 5: Solve for x
    x = 3,866,144.08/2,952.63
  6. Step 6: Final answer
    x = 1,309.39

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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.