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Finding the Fourth Proportional to 1,863.37, 2,571.48 and 1,024.15

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Solution

The fourth proportional to 1,863.37, 2,571.48 and 1,024.15 is: 1,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.37 : 2,571.48 = 1,024.15 : x
  2. Step 2: Convert to fraction form
    1,863.37/2,571.48 = 1,024.15/x
  3. Step 3: Cross multiply
    1,863.37x = 2,571.48 × 1,024.15
  4. Step 4: Simplify right side
    1,863.37x = 2,633,581.24
  5. Step 5: Solve for x
    x = 2,633,581.24/1,863.37
  6. Step 6: Final answer
    x = 1,413.34

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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.