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Finding the Fourth Proportional to 2,814.50, 3,884.19 and 1,767.26

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Solution

The fourth proportional to 2,814.50, 3,884.19 and 1,767.26 is: 2,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.50 : 3,884.19 = 1,767.26 : x
  2. Step 2: Convert to fraction form
    2,814.50/3,884.19 = 1,767.26/x
  3. Step 3: Cross multiply
    2,814.50x = 3,884.19 × 1,767.26
  4. Step 4: Simplify right side
    2,814.50x = 6,864,373.62
  5. Step 5: Solve for x
    x = 6,864,373.62/2,814.50
  6. Step 6: Final answer
    x = 2,438.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.