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Finding the Fourth Proportional to 2,697.72, 4,046.58 and 967.56

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Solution

The fourth proportional to 2,697.72, 4,046.58 and 967.56 is: 1,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.72 : 4,046.58 = 967.56 : x
  2. Step 2: Convert to fraction form
    2,697.72/4,046.58 = 967.56/x
  3. Step 3: Cross multiply
    2,697.72x = 4,046.58 × 967.56
  4. Step 4: Simplify right side
    2,697.72x = 3,915,308.94
  5. Step 5: Solve for x
    x = 3,915,308.94/2,697.72
  6. Step 6: Final answer
    x = 1,451.34

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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.