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Finding the Fourth Proportional to 2,844.84, 3,923.82 and 1,798.32

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Solution

The fourth proportional to 2,844.84, 3,923.82 and 1,798.32 is: 2,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.84 : 3,923.82 = 1,798.32 : x
  2. Step 2: Convert to fraction form
    2,844.84/3,923.82 = 1,798.32/x
  3. Step 3: Cross multiply
    2,844.84x = 3,923.82 × 1,798.32
  4. Step 4: Simplify right side
    2,844.84x = 7,056,283.98
  5. Step 5: Solve for x
    x = 7,056,283.98/2,844.84
  6. Step 6: Final answer
    x = 2,480.38

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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.