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Finding the Fourth Proportional to 1,641.13, 2,457.82 and 859.27

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Solution

The fourth proportional to 1,641.13, 2,457.82 and 859.27 is: 1,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.13 : 2,457.82 = 859.27 : x
  2. Step 2: Convert to fraction form
    1,641.13/2,457.82 = 859.27/x
  3. Step 3: Cross multiply
    1,641.13x = 2,457.82 × 859.27
  4. Step 4: Simplify right side
    1,641.13x = 2,111,930.99
  5. Step 5: Solve for x
    x = 2,111,930.99/1,641.13
  6. Step 6: Final answer
    x = 1,286.88

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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.