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Finding the Fourth Proportional to 2,525.12, 3,790.12 and 1,906.70

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Solution

The fourth proportional to 2,525.12, 3,790.12 and 1,906.70 is: 2,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.12 : 3,790.12 = 1,906.70 : x
  2. Step 2: Convert to fraction form
    2,525.12/3,790.12 = 1,906.70/x
  3. Step 3: Cross multiply
    2,525.12x = 3,790.12 × 1,906.70
  4. Step 4: Simplify right side
    2,525.12x = 7,226,621.80
  5. Step 5: Solve for x
    x = 7,226,621.80/2,525.12
  6. Step 6: Final answer
    x = 2,861.89

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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.