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Finding the Fourth Proportional to 1,995.36, 2,736 and 1,798.08

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Solution

The fourth proportional to 1,995.36, 2,736 and 1,798.08 is: 2,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.36 : 2,736 = 1,798.08 : x
  2. Step 2: Convert to fraction form
    1,995.36/2,736 = 1,798.08/x
  3. Step 3: Cross multiply
    1,995.36x = 2,736 × 1,798.08
  4. Step 4: Simplify right side
    1,995.36x = 4,919,546.88
  5. Step 5: Solve for x
    x = 4,919,546.88/1,995.36
  6. Step 6: Final answer
    x = 2,465.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.