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Finding the Fourth Proportional to 2,043.86, 3,065.14 and 873.84

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Solution

The fourth proportional to 2,043.86, 3,065.14 and 873.84 is: 1,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.86 : 3,065.14 = 873.84 : x
  2. Step 2: Convert to fraction form
    2,043.86/3,065.14 = 873.84/x
  3. Step 3: Cross multiply
    2,043.86x = 3,065.14 × 873.84
  4. Step 4: Simplify right side
    2,043.86x = 2,678,441.94
  5. Step 5: Solve for x
    x = 2,678,441.94/2,043.86
  6. Step 6: Final answer
    x = 1,310.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.