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Finding the Fourth Proportional to 1,371.96, 1,894.86 and 1,023.48

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Solution

The fourth proportional to 1,371.96, 1,894.86 and 1,023.48 is: 1,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.96 : 1,894.86 = 1,023.48 : x
  2. Step 2: Convert to fraction form
    1,371.96/1,894.86 = 1,023.48/x
  3. Step 3: Cross multiply
    1,371.96x = 1,894.86 × 1,023.48
  4. Step 4: Simplify right side
    1,371.96x = 1,939,351.31
  5. Step 5: Solve for x
    x = 1,939,351.31/1,371.96
  6. Step 6: Final answer
    x = 1,413.56

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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.