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Finding the Fourth Proportional to 3,293.22, 4,934.97 and 1,830.36

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Solution

The fourth proportional to 3,293.22, 4,934.97 and 1,830.36 is: 2,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.22 : 4,934.97 = 1,830.36 : x
  2. Step 2: Convert to fraction form
    3,293.22/4,934.97 = 1,830.36/x
  3. Step 3: Cross multiply
    3,293.22x = 4,934.97 × 1,830.36
  4. Step 4: Simplify right side
    3,293.22x = 9,032,771.69
  5. Step 5: Solve for x
    x = 9,032,771.69/3,293.22
  6. Step 6: Final answer
    x = 2,742.84

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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.