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Finding the Fourth Proportional to 2,811.66, 4,216.26 and 2,162.84

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Solution

The fourth proportional to 2,811.66, 4,216.26 and 2,162.84 is: 3,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.66 : 4,216.26 = 2,162.84 : x
  2. Step 2: Convert to fraction form
    2,811.66/4,216.26 = 2,162.84/x
  3. Step 3: Cross multiply
    2,811.66x = 4,216.26 × 2,162.84
  4. Step 4: Simplify right side
    2,811.66x = 9,119,095.78
  5. Step 5: Solve for x
    x = 9,119,095.78/2,811.66
  6. Step 6: Final answer
    x = 3,243.31

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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.