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Finding the Fourth Proportional to 1,682.36, 2,523.90 and 642.68

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Solution

The fourth proportional to 1,682.36, 2,523.90 and 642.68 is: 964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.36 : 2,523.90 = 642.68 : x
  2. Step 2: Convert to fraction form
    1,682.36/2,523.90 = 642.68/x
  3. Step 3: Cross multiply
    1,682.36x = 2,523.90 × 642.68
  4. Step 4: Simplify right side
    1,682.36x = 1,622,060.05
  5. Step 5: Solve for x
    x = 1,622,060.05/1,682.36
  6. Step 6: Final answer
    x = 964.16

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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.