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Finding the Fourth Proportional to 1,863.46, 2,571.46 and 1,024

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Solution

The fourth proportional to 1,863.46, 2,571.46 and 1,024 is: 1,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.46 : 2,571.46 = 1,024 : x
  2. Step 2: Convert to fraction form
    1,863.46/2,571.46 = 1,024/x
  3. Step 3: Cross multiply
    1,863.46x = 2,571.46 × 1,024
  4. Step 4: Simplify right side
    1,863.46x = 2,633,175.04
  5. Step 5: Solve for x
    x = 2,633,175.04/1,863.46
  6. Step 6: Final answer
    x = 1,413.06

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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.