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Finding the Fourth Proportional to 2,814.80, 4,230.30 and 2,458.40

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Solution

The fourth proportional to 2,814.80, 4,230.30 and 2,458.40 is: 3,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.80 : 4,230.30 = 2,458.40 : x
  2. Step 2: Convert to fraction form
    2,814.80/4,230.30 = 2,458.40/x
  3. Step 3: Cross multiply
    2,814.80x = 4,230.30 × 2,458.40
  4. Step 4: Simplify right side
    2,814.80x = 10,399,769.52
  5. Step 5: Solve for x
    x = 10,399,769.52/2,814.80
  6. Step 6: Final answer
    x = 3,694.67

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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.