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Finding the Fourth Proportional to 2,384.44, 3,575.92 and 845.32

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Solution

The fourth proportional to 2,384.44, 3,575.92 and 845.32 is: 1,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.44 : 3,575.92 = 845.32 : x
  2. Step 2: Convert to fraction form
    2,384.44/3,575.92 = 845.32/x
  3. Step 3: Cross multiply
    2,384.44x = 3,575.92 × 845.32
  4. Step 4: Simplify right side
    2,384.44x = 3,022,796.69
  5. Step 5: Solve for x
    x = 3,022,796.69/2,384.44
  6. Step 6: Final answer
    x = 1,267.72

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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.