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Finding the Fourth Proportional to 1,912.12, 2,864.73 and 936.07

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Solution

The fourth proportional to 1,912.12, 2,864.73 and 936.07 is: 1,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.12 : 2,864.73 = 936.07 : x
  2. Step 2: Convert to fraction form
    1,912.12/2,864.73 = 936.07/x
  3. Step 3: Cross multiply
    1,912.12x = 2,864.73 × 936.07
  4. Step 4: Simplify right side
    1,912.12x = 2,681,587.81
  5. Step 5: Solve for x
    x = 2,681,587.81/1,912.12
  6. Step 6: Final answer
    x = 1,402.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.