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Finding the Fourth Proportional to 2,467.46, 3,698.78 and 986.24

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Solution

The fourth proportional to 2,467.46, 3,698.78 and 986.24 is: 1,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.46 : 3,698.78 = 986.24 : x
  2. Step 2: Convert to fraction form
    2,467.46/3,698.78 = 986.24/x
  3. Step 3: Cross multiply
    2,467.46x = 3,698.78 × 986.24
  4. Step 4: Simplify right side
    2,467.46x = 3,647,889.10
  5. Step 5: Solve for x
    x = 3,647,889.10/2,467.46
  6. Step 6: Final answer
    x = 1,478.40

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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.