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Finding the Fourth Proportional to 2,221.75, 3,326.46 and 1,442.65

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Solution

The fourth proportional to 2,221.75, 3,326.46 and 1,442.65 is: 2,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.75 : 3,326.46 = 1,442.65 : x
  2. Step 2: Convert to fraction form
    2,221.75/3,326.46 = 1,442.65/x
  3. Step 3: Cross multiply
    2,221.75x = 3,326.46 × 1,442.65
  4. Step 4: Simplify right side
    2,221.75x = 4,798,917.52
  5. Step 5: Solve for x
    x = 4,798,917.52/2,221.75
  6. Step 6: Final answer
    x = 2,159.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.