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Finding the Fourth Proportional to 3,183.75, 4,393.77 and 1,786.50

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Solution

The fourth proportional to 3,183.75, 4,393.77 and 1,786.50 is: 2,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.75 : 4,393.77 = 1,786.50 : x
  2. Step 2: Convert to fraction form
    3,183.75/4,393.77 = 1,786.50/x
  3. Step 3: Cross multiply
    3,183.75x = 4,393.77 × 1,786.50
  4. Step 4: Simplify right side
    3,183.75x = 7,849,470.11
  5. Step 5: Solve for x
    x = 7,849,470.11/3,183.75
  6. Step 6: Final answer
    x = 2,465.48

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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.