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Finding the Fourth Proportional to 1,863.71, 2,571.99 and 1,024.48

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Solution

The fourth proportional to 1,863.71, 2,571.99 and 1,024.48 is: 1,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.71 : 2,571.99 = 1,024.48 : x
  2. Step 2: Convert to fraction form
    1,863.71/2,571.99 = 1,024.48/x
  3. Step 3: Cross multiply
    1,863.71x = 2,571.99 × 1,024.48
  4. Step 4: Simplify right side
    1,863.71x = 2,634,951.69
  5. Step 5: Solve for x
    x = 2,634,951.69/1,863.71
  6. Step 6: Final answer
    x = 1,413.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.