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Finding the Fourth Proportional to 2,543.09, 3,816.35 and 1,311.35

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Solution

The fourth proportional to 2,543.09, 3,816.35 and 1,311.35 is: 1,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.09 : 3,816.35 = 1,311.35 : x
  2. Step 2: Convert to fraction form
    2,543.09/3,816.35 = 1,311.35/x
  3. Step 3: Cross multiply
    2,543.09x = 3,816.35 × 1,311.35
  4. Step 4: Simplify right side
    2,543.09x = 5,004,544.93
  5. Step 5: Solve for x
    x = 5,004,544.93/2,543.09
  6. Step 6: Final answer
    x = 1,967.90

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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.