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Finding the Fourth Proportional to 2,045.30, 3,067.05 and 812.30

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Solution

The fourth proportional to 2,045.30, 3,067.05 and 812.30 is: 1,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.30 : 3,067.05 = 812.30 : x
  2. Step 2: Convert to fraction form
    2,045.30/3,067.05 = 812.30/x
  3. Step 3: Cross multiply
    2,045.30x = 3,067.05 × 812.30
  4. Step 4: Simplify right side
    2,045.30x = 2,491,364.72
  5. Step 5: Solve for x
    x = 2,491,364.72/2,045.30
  6. Step 6: Final answer
    x = 1,218.09

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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.