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Finding the Fourth Proportional to 2,187, 3,275.84 and 1,364.24

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Solution

The fourth proportional to 2,187, 3,275.84 and 1,364.24 is: 2,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187 : 3,275.84 = 1,364.24 : x
  2. Step 2: Convert to fraction form
    2,187/3,275.84 = 1,364.24/x
  3. Step 3: Cross multiply
    2,187x = 3,275.84 × 1,364.24
  4. Step 4: Simplify right side
    2,187x = 4,469,043.56
  5. Step 5: Solve for x
    x = 4,469,043.56/2,187
  6. Step 6: Final answer
    x = 2,043.46

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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.