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Finding the Fourth Proportional to 1,682.10, 2,523.42 and 642.06

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Solution

The fourth proportional to 1,682.10, 2,523.42 and 642.06 is: 963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.10 : 2,523.42 = 642.06 : x
  2. Step 2: Convert to fraction form
    1,682.10/2,523.42 = 642.06/x
  3. Step 3: Cross multiply
    1,682.10x = 2,523.42 × 642.06
  4. Step 4: Simplify right side
    1,682.10x = 1,620,187.05
  5. Step 5: Solve for x
    x = 1,620,187.05/1,682.10
  6. Step 6: Final answer
    x = 963.19

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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.