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Finding the Fourth Proportional to 2,519.10, 3,776.04 and 1,219.86

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Solution

The fourth proportional to 2,519.10, 3,776.04 and 1,219.86 is: 1,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.10 : 3,776.04 = 1,219.86 : x
  2. Step 2: Convert to fraction form
    2,519.10/3,776.04 = 1,219.86/x
  3. Step 3: Cross multiply
    2,519.10x = 3,776.04 × 1,219.86
  4. Step 4: Simplify right side
    2,519.10x = 4,606,240.15
  5. Step 5: Solve for x
    x = 4,606,240.15/2,519.10
  6. Step 6: Final answer
    x = 1,828.53

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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.