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Finding the Fourth Proportional to 3,194.93, 4,782.49 and 1,730.45

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Solution

The fourth proportional to 3,194.93, 4,782.49 and 1,730.45 is: 2,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.93 : 4,782.49 = 1,730.45 : x
  2. Step 2: Convert to fraction form
    3,194.93/4,782.49 = 1,730.45/x
  3. Step 3: Cross multiply
    3,194.93x = 4,782.49 × 1,730.45
  4. Step 4: Simplify right side
    3,194.93x = 8,275,859.82
  5. Step 5: Solve for x
    x = 8,275,859.82/3,194.93
  6. Step 6: Final answer
    x = 2,590.31

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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.