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Finding the Fourth Proportional to 2,282.40, 3,427.20 and 1,310.40

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Solution

The fourth proportional to 2,282.40, 3,427.20 and 1,310.40 is: 1,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.40 : 3,427.20 = 1,310.40 : x
  2. Step 2: Convert to fraction form
    2,282.40/3,427.20 = 1,310.40/x
  3. Step 3: Cross multiply
    2,282.40x = 3,427.20 × 1,310.40
  4. Step 4: Simplify right side
    2,282.40x = 4,491,002.88
  5. Step 5: Solve for x
    x = 4,491,002.88/2,282.40
  6. Step 6: Final answer
    x = 1,967.67

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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.