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Finding the Fourth Proportional to 1,863.45, 2,571.60 and 1,024.23

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Solution

The fourth proportional to 1,863.45, 2,571.60 and 1,024.23 is: 1,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.45 : 2,571.60 = 1,024.23 : x
  2. Step 2: Convert to fraction form
    1,863.45/2,571.60 = 1,024.23/x
  3. Step 3: Cross multiply
    1,863.45x = 2,571.60 × 1,024.23
  4. Step 4: Simplify right side
    1,863.45x = 2,633,909.87
  5. Step 5: Solve for x
    x = 2,633,909.87/1,863.45
  6. Step 6: Final answer
    x = 1,413.46

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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.