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Finding the Fourth Proportional to 2,797.64, 4,193.21 and 2,473.64

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Solution

The fourth proportional to 2,797.64, 4,193.21 and 2,473.64 is: 3,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.64 : 4,193.21 = 2,473.64 : x
  2. Step 2: Convert to fraction form
    2,797.64/4,193.21 = 2,473.64/x
  3. Step 3: Cross multiply
    2,797.64x = 4,193.21 × 2,473.64
  4. Step 4: Simplify right side
    2,797.64x = 10,372,491.98
  5. Step 5: Solve for x
    x = 10,372,491.98/2,797.64
  6. Step 6: Final answer
    x = 3,707.59

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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.