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Finding the Fourth Proportional to 2,045.45, 3,067.37 and 812.84

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Solution

The fourth proportional to 2,045.45, 3,067.37 and 812.84 is: 1,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.45 : 3,067.37 = 812.84 : x
  2. Step 2: Convert to fraction form
    2,045.45/3,067.37 = 812.84/x
  3. Step 3: Cross multiply
    2,045.45x = 3,067.37 × 812.84
  4. Step 4: Simplify right side
    2,045.45x = 2,493,264.68
  5. Step 5: Solve for x
    x = 2,493,264.68/2,045.45
  6. Step 6: Final answer
    x = 1,218.93

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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.