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Finding the Fourth Proportional to 1,816.82, 2,719.79 and 1,121.23

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Solution

The fourth proportional to 1,816.82, 2,719.79 and 1,121.23 is: 1,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.82 : 2,719.79 = 1,121.23 : x
  2. Step 2: Convert to fraction form
    1,816.82/2,719.79 = 1,121.23/x
  3. Step 3: Cross multiply
    1,816.82x = 2,719.79 × 1,121.23
  4. Step 4: Simplify right side
    1,816.82x = 3,049,510.14
  5. Step 5: Solve for x
    x = 3,049,510.14/1,816.82
  6. Step 6: Final answer
    x = 1,678.49

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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.