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Finding the Fourth Proportional to 3,246.97, 4,480.38 and 1,830.44

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Solution

The fourth proportional to 3,246.97, 4,480.38 and 1,830.44 is: 2,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.97 : 4,480.38 = 1,830.44 : x
  2. Step 2: Convert to fraction form
    3,246.97/4,480.38 = 1,830.44/x
  3. Step 3: Cross multiply
    3,246.97x = 4,480.38 × 1,830.44
  4. Step 4: Simplify right side
    3,246.97x = 8,201,066.77
  5. Step 5: Solve for x
    x = 8,201,066.77/3,246.97
  6. Step 6: Final answer
    x = 2,525.76

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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.