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Finding the Fourth Proportional to 2,811.46, 3,879.34 and 1,632.50

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Solution

The fourth proportional to 2,811.46, 3,879.34 and 1,632.50 is: 2,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.46 : 3,879.34 = 1,632.50 : x
  2. Step 2: Convert to fraction form
    2,811.46/3,879.34 = 1,632.50/x
  3. Step 3: Cross multiply
    2,811.46x = 3,879.34 × 1,632.50
  4. Step 4: Simplify right side
    2,811.46x = 6,333,022.55
  5. Step 5: Solve for x
    x = 6,333,022.55/2,811.46
  6. Step 6: Final answer
    x = 2,252.57

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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.