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Finding the Fourth Proportional to 1,682.64, 2,523.56 and 816.75

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Solution

The fourth proportional to 1,682.64, 2,523.56 and 816.75 is: 1,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.64 : 2,523.56 = 816.75 : x
  2. Step 2: Convert to fraction form
    1,682.64/2,523.56 = 816.75/x
  3. Step 3: Cross multiply
    1,682.64x = 2,523.56 × 816.75
  4. Step 4: Simplify right side
    1,682.64x = 2,061,113.55
  5. Step 5: Solve for x
    x = 2,061,113.55/1,682.64
  6. Step 6: Final answer
    x = 1,224.93

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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.