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Finding the Fourth Proportional to 1,682.32, 2,523.99 and 861.16

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Solution

The fourth proportional to 1,682.32, 2,523.99 and 861.16 is: 1,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.32 : 2,523.99 = 861.16 : x
  2. Step 2: Convert to fraction form
    1,682.32/2,523.99 = 861.16/x
  3. Step 3: Cross multiply
    1,682.32x = 2,523.99 × 861.16
  4. Step 4: Simplify right side
    1,682.32x = 2,173,546.52
  5. Step 5: Solve for x
    x = 2,173,546.52/1,682.32
  6. Step 6: Final answer
    x = 1,291.99

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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.