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Finding the Fourth Proportional to 1,960.44, 2,940.80 and 573.81

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Solution

The fourth proportional to 1,960.44, 2,940.80 and 573.81 is: 860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.44 : 2,940.80 = 573.81 : x
  2. Step 2: Convert to fraction form
    1,960.44/2,940.80 = 573.81/x
  3. Step 3: Cross multiply
    1,960.44x = 2,940.80 × 573.81
  4. Step 4: Simplify right side
    1,960.44x = 1,687,457.58
  5. Step 5: Solve for x
    x = 1,687,457.58/1,960.44
  6. Step 6: Final answer
    x = 860.75

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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.