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Finding the Fourth Proportional to 2,266.18, 3,396.84 and 1,109.50

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Solution

The fourth proportional to 2,266.18, 3,396.84 and 1,109.50 is: 1,663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.18 : 3,396.84 = 1,109.50 : x
  2. Step 2: Convert to fraction form
    2,266.18/3,396.84 = 1,109.50/x
  3. Step 3: Cross multiply
    2,266.18x = 3,396.84 × 1,109.50
  4. Step 4: Simplify right side
    2,266.18x = 3,768,793.98
  5. Step 5: Solve for x
    x = 3,768,793.98/2,266.18
  6. Step 6: Final answer
    x = 1,663.06

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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.