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Finding the Fourth Proportional to 1,371.86, 1,894.82 and 998.25

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Solution

The fourth proportional to 1,371.86, 1,894.82 and 998.25 is: 1,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.86 : 1,894.82 = 998.25 : x
  2. Step 2: Convert to fraction form
    1,371.86/1,894.82 = 998.25/x
  3. Step 3: Cross multiply
    1,371.86x = 1,894.82 × 998.25
  4. Step 4: Simplify right side
    1,371.86x = 1,891,504.07
  5. Step 5: Solve for x
    x = 1,891,504.07/1,371.86
  6. Step 6: Final answer
    x = 1,378.79

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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.