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Finding the Fourth Proportional to 1,902.86, 2,625.99 and 1,063.65

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Solution

The fourth proportional to 1,902.86, 2,625.99 and 1,063.65 is: 1,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.86 : 2,625.99 = 1,063.65 : x
  2. Step 2: Convert to fraction form
    1,902.86/2,625.99 = 1,063.65/x
  3. Step 3: Cross multiply
    1,902.86x = 2,625.99 × 1,063.65
  4. Step 4: Simplify right side
    1,902.86x = 2,793,134.26
  5. Step 5: Solve for x
    x = 2,793,134.26/1,902.86
  6. Step 6: Final answer
    x = 1,467.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.