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Finding the Fourth Proportional to 2,571.86, 3,859.42 and 1,478.36

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Solution

The fourth proportional to 2,571.86, 3,859.42 and 1,478.36 is: 2,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.86 : 3,859.42 = 1,478.36 : x
  2. Step 2: Convert to fraction form
    2,571.86/3,859.42 = 1,478.36/x
  3. Step 3: Cross multiply
    2,571.86x = 3,859.42 × 1,478.36
  4. Step 4: Simplify right side
    2,571.86x = 5,705,612.15
  5. Step 5: Solve for x
    x = 5,705,612.15/2,571.86
  6. Step 6: Final answer
    x = 2,218.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.