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Finding the Fourth Proportional to 1,786.31, 2,674.31 and 1,043.67

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Solution

The fourth proportional to 1,786.31, 2,674.31 and 1,043.67 is: 1,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.31 : 2,674.31 = 1,043.67 : x
  2. Step 2: Convert to fraction form
    1,786.31/2,674.31 = 1,043.67/x
  3. Step 3: Cross multiply
    1,786.31x = 2,674.31 × 1,043.67
  4. Step 4: Simplify right side
    1,786.31x = 2,791,091.90
  5. Step 5: Solve for x
    x = 2,791,091.90/1,786.31
  6. Step 6: Final answer
    x = 1,562.49

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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.