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Finding the Fourth Proportional to 2,518.96, 3,778.41 and 1,825.96

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Solution

The fourth proportional to 2,518.96, 3,778.41 and 1,825.96 is: 2,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.96 : 3,778.41 = 1,825.96 : x
  2. Step 2: Convert to fraction form
    2,518.96/3,778.41 = 1,825.96/x
  3. Step 3: Cross multiply
    2,518.96x = 3,778.41 × 1,825.96
  4. Step 4: Simplify right side
    2,518.96x = 6,899,225.52
  5. Step 5: Solve for x
    x = 6,899,225.52/2,518.96
  6. Step 6: Final answer
    x = 2,738.92

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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.