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Finding the Fourth Proportional to 1,855.24, 2,783.10 and 829

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Solution

The fourth proportional to 1,855.24, 2,783.10 and 829 is: 1,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.24 : 2,783.10 = 829 : x
  2. Step 2: Convert to fraction form
    1,855.24/2,783.10 = 829/x
  3. Step 3: Cross multiply
    1,855.24x = 2,783.10 × 829
  4. Step 4: Simplify right side
    1,855.24x = 2,307,189.90
  5. Step 5: Solve for x
    x = 2,307,189.90/1,855.24
  6. Step 6: Final answer
    x = 1,243.61

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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.