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Finding the Fourth Proportional to 1,976.84, 2,727.26 and 1,346.37

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Solution

The fourth proportional to 1,976.84, 2,727.26 and 1,346.37 is: 1,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.84 : 2,727.26 = 1,346.37 : x
  2. Step 2: Convert to fraction form
    1,976.84/2,727.26 = 1,346.37/x
  3. Step 3: Cross multiply
    1,976.84x = 2,727.26 × 1,346.37
  4. Step 4: Simplify right side
    1,976.84x = 3,671,902.58
  5. Step 5: Solve for x
    x = 3,671,902.58/1,976.84
  6. Step 6: Final answer
    x = 1,857.46

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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.