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Finding the Fourth Proportional to 2,255.10, 3,384 and 795.48

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Solution

The fourth proportional to 2,255.10, 3,384 and 795.48 is: 1,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.10 : 3,384 = 795.48 : x
  2. Step 2: Convert to fraction form
    2,255.10/3,384 = 795.48/x
  3. Step 3: Cross multiply
    2,255.10x = 3,384 × 795.48
  4. Step 4: Simplify right side
    2,255.10x = 2,691,904.32
  5. Step 5: Solve for x
    x = 2,691,904.32/2,255.10
  6. Step 6: Final answer
    x = 1,193.70

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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.