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Finding the Fourth Proportional to 2,193.51, 3,286.55 and 1,326

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Solution

The fourth proportional to 2,193.51, 3,286.55 and 1,326 is: 1,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.51 : 3,286.55 = 1,326 : x
  2. Step 2: Convert to fraction form
    2,193.51/3,286.55 = 1,326/x
  3. Step 3: Cross multiply
    2,193.51x = 3,286.55 × 1,326
  4. Step 4: Simplify right side
    2,193.51x = 4,357,958.67
  5. Step 5: Solve for x
    x = 4,357,958.67/2,193.51
  6. Step 6: Final answer
    x = 1,986.75

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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.