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Finding the Fourth Proportional to 3,122.58, 4,308.21 and 2,189.46

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Solution

The fourth proportional to 3,122.58, 4,308.21 and 2,189.46 is: 3,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.58 : 4,308.21 = 2,189.46 : x
  2. Step 2: Convert to fraction form
    3,122.58/4,308.21 = 2,189.46/x
  3. Step 3: Cross multiply
    3,122.58x = 4,308.21 × 2,189.46
  4. Step 4: Simplify right side
    3,122.58x = 9,432,653.47
  5. Step 5: Solve for x
    x = 9,432,653.47/3,122.58
  6. Step 6: Final answer
    x = 3,020.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.