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Finding the Fourth Proportional to 2,867.46, 3,958.30 and 2,427.64

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Solution

The fourth proportional to 2,867.46, 3,958.30 and 2,427.64 is: 3,351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.46 : 3,958.30 = 2,427.64 : x
  2. Step 2: Convert to fraction form
    2,867.46/3,958.30 = 2,427.64/x
  3. Step 3: Cross multiply
    2,867.46x = 3,958.30 × 2,427.64
  4. Step 4: Simplify right side
    2,867.46x = 9,609,327.41
  5. Step 5: Solve for x
    x = 9,609,327.41/2,867.46
  6. Step 6: Final answer
    x = 3,351.16

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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.