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Finding the Fourth Proportional to 1,826.07, 2,739.87 and 786.30

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Solution

The fourth proportional to 1,826.07, 2,739.87 and 786.30 is: 1,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.07 : 2,739.87 = 786.30 : x
  2. Step 2: Convert to fraction form
    1,826.07/2,739.87 = 786.30/x
  3. Step 3: Cross multiply
    1,826.07x = 2,739.87 × 786.30
  4. Step 4: Simplify right side
    1,826.07x = 2,154,359.78
  5. Step 5: Solve for x
    x = 2,154,359.78/1,826.07
  6. Step 6: Final answer
    x = 1,179.78

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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.