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Finding the Fourth Proportional to 1,796.32, 2,694.76 and 918.34

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Solution

The fourth proportional to 1,796.32, 2,694.76 and 918.34 is: 1,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.32 : 2,694.76 = 918.34 : x
  2. Step 2: Convert to fraction form
    1,796.32/2,694.76 = 918.34/x
  3. Step 3: Cross multiply
    1,796.32x = 2,694.76 × 918.34
  4. Step 4: Simplify right side
    1,796.32x = 2,474,705.90
  5. Step 5: Solve for x
    x = 2,474,705.90/1,796.32
  6. Step 6: Final answer
    x = 1,377.65

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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.