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Finding the Fourth Proportional to 1,921.88, 2,653.78 and 1,362.98

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Solution

The fourth proportional to 1,921.88, 2,653.78 and 1,362.98 is: 1,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.88 : 2,653.78 = 1,362.98 : x
  2. Step 2: Convert to fraction form
    1,921.88/2,653.78 = 1,362.98/x
  3. Step 3: Cross multiply
    1,921.88x = 2,653.78 × 1,362.98
  4. Step 4: Simplify right side
    1,921.88x = 3,617,049.06
  5. Step 5: Solve for x
    x = 3,617,049.06/1,921.88
  6. Step 6: Final answer
    x = 1,882.04

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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.