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Finding the Fourth Proportional to 1,933.92, 2,672.64 and 1,622.88

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Solution

The fourth proportional to 1,933.92, 2,672.64 and 1,622.88 is: 2,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.92 : 2,672.64 = 1,622.88 : x
  2. Step 2: Convert to fraction form
    1,933.92/2,672.64 = 1,622.88/x
  3. Step 3: Cross multiply
    1,933.92x = 2,672.64 × 1,622.88
  4. Step 4: Simplify right side
    1,933.92x = 4,337,374.00
  5. Step 5: Solve for x
    x = 4,337,374.00/1,933.92
  6. Step 6: Final answer
    x = 2,242.79

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Why These Related Problems?

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