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Finding the Fourth Proportional to 2,042.86, 3,063.64 and 872.84

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Solution

The fourth proportional to 2,042.86, 3,063.64 and 872.84 is: 1,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.86 : 3,063.64 = 872.84 : x
  2. Step 2: Convert to fraction form
    2,042.86/3,063.64 = 872.84/x
  3. Step 3: Cross multiply
    2,042.86x = 3,063.64 × 872.84
  4. Step 4: Simplify right side
    2,042.86x = 2,674,067.54
  5. Step 5: Solve for x
    x = 2,674,067.54/2,042.86
  6. Step 6: Final answer
    x = 1,308.98

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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.