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Finding the Fourth Proportional to 2,551.04, 3,825.44 and 795.56

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Solution

The fourth proportional to 2,551.04, 3,825.44 and 795.56 is: 1,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.04 : 3,825.44 = 795.56 : x
  2. Step 2: Convert to fraction form
    2,551.04/3,825.44 = 795.56/x
  3. Step 3: Cross multiply
    2,551.04x = 3,825.44 × 795.56
  4. Step 4: Simplify right side
    2,551.04x = 3,043,367.05
  5. Step 5: Solve for x
    x = 3,043,367.05/2,551.04
  6. Step 6: Final answer
    x = 1,192.99

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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.