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Finding the Fourth Proportional to 2,255.58, 3,381.35 and 794.48

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Solution

The fourth proportional to 2,255.58, 3,381.35 and 794.48 is: 1,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.58 : 3,381.35 = 794.48 : x
  2. Step 2: Convert to fraction form
    2,255.58/3,381.35 = 794.48/x
  3. Step 3: Cross multiply
    2,255.58x = 3,381.35 × 794.48
  4. Step 4: Simplify right side
    2,255.58x = 2,686,394.07
  5. Step 5: Solve for x
    x = 2,686,394.07/2,255.58
  6. Step 6: Final answer
    x = 1,191.00

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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.