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Finding the Fourth Proportional to 1,832.66, 2,748.69 and 662.45

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Solution

The fourth proportional to 1,832.66, 2,748.69 and 662.45 is: 993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.66 : 2,748.69 = 662.45 : x
  2. Step 2: Convert to fraction form
    1,832.66/2,748.69 = 662.45/x
  3. Step 3: Cross multiply
    1,832.66x = 2,748.69 × 662.45
  4. Step 4: Simplify right side
    1,832.66x = 1,820,855.95
  5. Step 5: Solve for x
    x = 1,820,855.95/1,832.66
  6. Step 6: Final answer
    x = 993.56

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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.