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Finding the Fourth Proportional to 2,257.44, 3,385.14 and 795.84

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Solution

The fourth proportional to 2,257.44, 3,385.14 and 795.84 is: 1,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.44 : 3,385.14 = 795.84 : x
  2. Step 2: Convert to fraction form
    2,257.44/3,385.14 = 795.84/x
  3. Step 3: Cross multiply
    2,257.44x = 3,385.14 × 795.84
  4. Step 4: Simplify right side
    2,257.44x = 2,694,029.82
  5. Step 5: Solve for x
    x = 2,694,029.82/2,257.44
  6. Step 6: Final answer
    x = 1,193.40

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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.