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Finding the Fourth Proportional to 3,243, 4,864.50 and 1,191

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Solution

The fourth proportional to 3,243, 4,864.50 and 1,191 is: 1,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243 : 4,864.50 = 1,191 : x
  2. Step 2: Convert to fraction form
    3,243/4,864.50 = 1,191/x
  3. Step 3: Cross multiply
    3,243x = 4,864.50 × 1,191
  4. Step 4: Simplify right side
    3,243x = 5,793,619.50
  5. Step 5: Solve for x
    x = 5,793,619.50/3,243
  6. Step 6: Final answer
    x = 1,786.50

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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.