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Finding the Fourth Proportional to 2,194.67, 3,289.83 and 877.64

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Solution

The fourth proportional to 2,194.67, 3,289.83 and 877.64 is: 1,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.67 : 3,289.83 = 877.64 : x
  2. Step 2: Convert to fraction form
    2,194.67/3,289.83 = 877.64/x
  3. Step 3: Cross multiply
    2,194.67x = 3,289.83 × 877.64
  4. Step 4: Simplify right side
    2,194.67x = 2,887,269.95
  5. Step 5: Solve for x
    x = 2,887,269.95/2,194.67
  6. Step 6: Final answer
    x = 1,315.59

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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.