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Finding the Fourth Proportional to 1,936.35, 2,672.42 and 1,097.33

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Solution

The fourth proportional to 1,936.35, 2,672.42 and 1,097.33 is: 1,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.35 : 2,672.42 = 1,097.33 : x
  2. Step 2: Convert to fraction form
    1,936.35/2,672.42 = 1,097.33/x
  3. Step 3: Cross multiply
    1,936.35x = 2,672.42 × 1,097.33
  4. Step 4: Simplify right side
    1,936.35x = 2,932,507.79
  5. Step 5: Solve for x
    x = 2,932,507.79/1,936.35
  6. Step 6: Final answer
    x = 1,514.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.