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Finding the Fourth Proportional to 1,964.02, 2,945.49 and 809.50

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Solution

The fourth proportional to 1,964.02, 2,945.49 and 809.50 is: 1,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.02 : 2,945.49 = 809.50 : x
  2. Step 2: Convert to fraction form
    1,964.02/2,945.49 = 809.50/x
  3. Step 3: Cross multiply
    1,964.02x = 2,945.49 × 809.50
  4. Step 4: Simplify right side
    1,964.02x = 2,384,374.16
  5. Step 5: Solve for x
    x = 2,384,374.16/1,964.02
  6. Step 6: Final answer
    x = 1,214.03

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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.