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Finding the Fourth Proportional to 2,467.92, 3,698.46 and 1,771.50

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Solution

The fourth proportional to 2,467.92, 3,698.46 and 1,771.50 is: 2,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.92 : 3,698.46 = 1,771.50 : x
  2. Step 2: Convert to fraction form
    2,467.92/3,698.46 = 1,771.50/x
  3. Step 3: Cross multiply
    2,467.92x = 3,698.46 × 1,771.50
  4. Step 4: Simplify right side
    2,467.92x = 6,551,804.55
  5. Step 5: Solve for x
    x = 6,551,804.55/2,467.92
  6. Step 6: Final answer
    x = 2,654.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.