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Finding the Fourth Proportional to 1,648.86, 2,473.26 and 674.73

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Solution

The fourth proportional to 1,648.86, 2,473.26 and 674.73 is: 1,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.86 : 2,473.26 = 674.73 : x
  2. Step 2: Convert to fraction form
    1,648.86/2,473.26 = 674.73/x
  3. Step 3: Cross multiply
    1,648.86x = 2,473.26 × 674.73
  4. Step 4: Simplify right side
    1,648.86x = 1,668,782.72
  5. Step 5: Solve for x
    x = 1,668,782.72/1,648.86
  6. Step 6: Final answer
    x = 1,012.08

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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.