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Finding the Fourth Proportional to 2,544.39, 3,817.71 and 1,619.70

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Solution

The fourth proportional to 2,544.39, 3,817.71 and 1,619.70 is: 2,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.39 : 3,817.71 = 1,619.70 : x
  2. Step 2: Convert to fraction form
    2,544.39/3,817.71 = 1,619.70/x
  3. Step 3: Cross multiply
    2,544.39x = 3,817.71 × 1,619.70
  4. Step 4: Simplify right side
    2,544.39x = 6,183,544.89
  5. Step 5: Solve for x
    x = 6,183,544.89/2,544.39
  6. Step 6: Final answer
    x = 2,430.27

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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.