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Finding the Fourth Proportional to 1,805.86, 2,709.48 and 635.96

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Solution

The fourth proportional to 1,805.86, 2,709.48 and 635.96 is: 954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.86 : 2,709.48 = 635.96 : x
  2. Step 2: Convert to fraction form
    1,805.86/2,709.48 = 635.96/x
  3. Step 3: Cross multiply
    1,805.86x = 2,709.48 × 635.96
  4. Step 4: Simplify right side
    1,805.86x = 1,723,120.90
  5. Step 5: Solve for x
    x = 1,723,120.90/1,805.86
  6. Step 6: Final answer
    x = 954.18

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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.