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Finding the Fourth Proportional to 1,678.69, 2,517.49 and 582.85

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Solution

The fourth proportional to 1,678.69, 2,517.49 and 582.85 is: 874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.69 : 2,517.49 = 582.85 : x
  2. Step 2: Convert to fraction form
    1,678.69/2,517.49 = 582.85/x
  3. Step 3: Cross multiply
    1,678.69x = 2,517.49 × 582.85
  4. Step 4: Simplify right side
    1,678.69x = 1,467,319.05
  5. Step 5: Solve for x
    x = 1,467,319.05/1,678.69
  6. Step 6: Final answer
    x = 874.09

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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.