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Finding the Fourth Proportional to 2,216.12, 3,326.61 and 918.50

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Solution

The fourth proportional to 2,216.12, 3,326.61 and 918.50 is: 1,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.12 : 3,326.61 = 918.50 : x
  2. Step 2: Convert to fraction form
    2,216.12/3,326.61 = 918.50/x
  3. Step 3: Cross multiply
    2,216.12x = 3,326.61 × 918.50
  4. Step 4: Simplify right side
    2,216.12x = 3,055,485.98
  5. Step 5: Solve for x
    x = 3,055,485.98/2,216.12
  6. Step 6: Final answer
    x = 1,378.76

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Why These Related Problems?

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