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Finding the Fourth Proportional to 2,216.77, 3,318.71 and 1,289.50

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Solution

The fourth proportional to 2,216.77, 3,318.71 and 1,289.50 is: 1,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.77 : 3,318.71 = 1,289.50 : x
  2. Step 2: Convert to fraction form
    2,216.77/3,318.71 = 1,289.50/x
  3. Step 3: Cross multiply
    2,216.77x = 3,318.71 × 1,289.50
  4. Step 4: Simplify right side
    2,216.77x = 4,279,476.55
  5. Step 5: Solve for x
    x = 4,279,476.55/2,216.77
  6. Step 6: Final answer
    x = 1,930.50

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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.