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Finding the Fourth Proportional to 1,796.06, 2,694.54 and 918.23

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Solution

The fourth proportional to 1,796.06, 2,694.54 and 918.23 is: 1,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.06 : 2,694.54 = 918.23 : x
  2. Step 2: Convert to fraction form
    1,796.06/2,694.54 = 918.23/x
  3. Step 3: Cross multiply
    1,796.06x = 2,694.54 × 918.23
  4. Step 4: Simplify right side
    1,796.06x = 2,474,193.99
  5. Step 5: Solve for x
    x = 2,474,193.99/1,796.06
  6. Step 6: Final answer
    x = 1,377.57

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1.5x scale

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.