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Finding the Fourth Proportional to 1,961.43, 2,705.83 and 1,175.32

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Solution

The fourth proportional to 1,961.43, 2,705.83 and 1,175.32 is: 1,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.43 : 2,705.83 = 1,175.32 : x
  2. Step 2: Convert to fraction form
    1,961.43/2,705.83 = 1,175.32/x
  3. Step 3: Cross multiply
    1,961.43x = 2,705.83 × 1,175.32
  4. Step 4: Simplify right side
    1,961.43x = 3,180,216.12
  5. Step 5: Solve for x
    x = 3,180,216.12/1,961.43
  6. Step 6: Final answer
    x = 1,621.38

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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.