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Finding the Fourth Proportional to 2,516.46, 3,774.57 and 1,216.62

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Solution

The fourth proportional to 2,516.46, 3,774.57 and 1,216.62 is: 1,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.46 : 3,774.57 = 1,216.62 : x
  2. Step 2: Convert to fraction form
    2,516.46/3,774.57 = 1,216.62/x
  3. Step 3: Cross multiply
    2,516.46x = 3,774.57 × 1,216.62
  4. Step 4: Simplify right side
    2,516.46x = 4,592,217.35
  5. Step 5: Solve for x
    x = 4,592,217.35/2,516.46
  6. Step 6: Final answer
    x = 1,824.87

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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.