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Finding the Fourth Proportional to 2,544.59, 3,814.45 and 812.09

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Solution

The fourth proportional to 2,544.59, 3,814.45 and 812.09 is: 1,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.59 : 3,814.45 = 812.09 : x
  2. Step 2: Convert to fraction form
    2,544.59/3,814.45 = 812.09/x
  3. Step 3: Cross multiply
    2,544.59x = 3,814.45 × 812.09
  4. Step 4: Simplify right side
    2,544.59x = 3,097,676.70
  5. Step 5: Solve for x
    x = 3,097,676.70/2,544.59
  6. Step 6: Final answer
    x = 1,217.36

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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.