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Finding the Fourth Proportional to 2,409.54, 3,618.09 and 1,439.70

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Solution

The fourth proportional to 2,409.54, 3,618.09 and 1,439.70 is: 2,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.54 : 3,618.09 = 1,439.70 : x
  2. Step 2: Convert to fraction form
    2,409.54/3,618.09 = 1,439.70/x
  3. Step 3: Cross multiply
    2,409.54x = 3,618.09 × 1,439.70
  4. Step 4: Simplify right side
    2,409.54x = 5,208,964.17
  5. Step 5: Solve for x
    x = 5,208,964.17/2,409.54
  6. Step 6: Final answer
    x = 2,161.81

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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.