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Finding the Fourth Proportional to 2,374.75, 3,276.84 and 1,326.73

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Solution

The fourth proportional to 2,374.75, 3,276.84 and 1,326.73 is: 1,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.75 : 3,276.84 = 1,326.73 : x
  2. Step 2: Convert to fraction form
    2,374.75/3,276.84 = 1,326.73/x
  3. Step 3: Cross multiply
    2,374.75x = 3,276.84 × 1,326.73
  4. Step 4: Simplify right side
    2,374.75x = 4,347,481.93
  5. Step 5: Solve for x
    x = 4,347,481.93/2,374.75
  6. Step 6: Final answer
    x = 1,830.71

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1.5x scale

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.