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Finding the Fourth Proportional to 2,467.87, 3,405.49 and 1,405.50

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Solution

The fourth proportional to 2,467.87, 3,405.49 and 1,405.50 is: 1,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.87 : 3,405.49 = 1,405.50 : x
  2. Step 2: Convert to fraction form
    2,467.87/3,405.49 = 1,405.50/x
  3. Step 3: Cross multiply
    2,467.87x = 3,405.49 × 1,405.50
  4. Step 4: Simplify right side
    2,467.87x = 4,786,426.97
  5. Step 5: Solve for x
    x = 4,786,426.97/2,467.87
  6. Step 6: Final answer
    x = 1,939.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.