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Finding the Fourth Proportional to 2,133.26, 3,199.74 and 1,311.65

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Solution

The fourth proportional to 2,133.26, 3,199.74 and 1,311.65 is: 1,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.26 : 3,199.74 = 1,311.65 : x
  2. Step 2: Convert to fraction form
    2,133.26/3,199.74 = 1,311.65/x
  3. Step 3: Cross multiply
    2,133.26x = 3,199.74 × 1,311.65
  4. Step 4: Simplify right side
    2,133.26x = 4,196,938.97
  5. Step 5: Solve for x
    x = 4,196,938.97/2,133.26
  6. Step 6: Final answer
    x = 1,967.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.