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Finding the Fourth Proportional to 1,964.04, 2,709.62 and 1,197.24

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Solution

The fourth proportional to 1,964.04, 2,709.62 and 1,197.24 is: 1,651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.04 : 2,709.62 = 1,197.24 : x
  2. Step 2: Convert to fraction form
    1,964.04/2,709.62 = 1,197.24/x
  3. Step 3: Cross multiply
    1,964.04x = 2,709.62 × 1,197.24
  4. Step 4: Simplify right side
    1,964.04x = 3,244,065.45
  5. Step 5: Solve for x
    x = 3,244,065.45/1,964.04
  6. Step 6: Final answer
    x = 1,651.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.