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Finding the Fourth Proportional to 1,682.13, 2,523.71 and 860.98

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Solution

The fourth proportional to 1,682.13, 2,523.71 and 860.98 is: 1,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.13 : 2,523.71 = 860.98 : x
  2. Step 2: Convert to fraction form
    1,682.13/2,523.71 = 860.98/x
  3. Step 3: Cross multiply
    1,682.13x = 2,523.71 × 860.98
  4. Step 4: Simplify right side
    1,682.13x = 2,172,863.84
  5. Step 5: Solve for x
    x = 2,172,863.84/1,682.13
  6. Step 6: Final answer
    x = 1,291.73

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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.