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Finding the Fourth Proportional to 1,964.69, 2,948.38 and 810.44

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Solution

The fourth proportional to 1,964.69, 2,948.38 and 810.44 is: 1,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.69 : 2,948.38 = 810.44 : x
  2. Step 2: Convert to fraction form
    1,964.69/2,948.38 = 810.44/x
  3. Step 3: Cross multiply
    1,964.69x = 2,948.38 × 810.44
  4. Step 4: Simplify right side
    1,964.69x = 2,389,485.09
  5. Step 5: Solve for x
    x = 2,389,485.09/1,964.69
  6. Step 6: Final answer
    x = 1,216.21

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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.