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Finding the Fourth Proportional to 2,191.50, 3,283.81 and 1,267.49

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Solution

The fourth proportional to 2,191.50, 3,283.81 and 1,267.49 is: 1,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.50 : 3,283.81 = 1,267.49 : x
  2. Step 2: Convert to fraction form
    2,191.50/3,283.81 = 1,267.49/x
  3. Step 3: Cross multiply
    2,191.50x = 3,283.81 × 1,267.49
  4. Step 4: Simplify right side
    2,191.50x = 4,162,196.34
  5. Step 5: Solve for x
    x = 4,162,196.34/2,191.50
  6. Step 6: Final answer
    x = 1,899.25

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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.