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Finding the Fourth Proportional to 1,921.35, 2,882.03 and 1,192.35

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Solution

The fourth proportional to 1,921.35, 2,882.03 and 1,192.35 is: 1,788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.35 : 2,882.03 = 1,192.35 : x
  2. Step 2: Convert to fraction form
    1,921.35/2,882.03 = 1,192.35/x
  3. Step 3: Cross multiply
    1,921.35x = 2,882.03 × 1,192.35
  4. Step 4: Simplify right side
    1,921.35x = 3,436,382.51
  5. Step 5: Solve for x
    x = 3,436,382.51/1,921.35
  6. Step 6: Final answer
    x = 1,788.53

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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.