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Finding the Fourth Proportional to 2,255.87, 3,384.07 and 794.68

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Solution

The fourth proportional to 2,255.87, 3,384.07 and 794.68 is: 1,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.87 : 3,384.07 = 794.68 : x
  2. Step 2: Convert to fraction form
    2,255.87/3,384.07 = 794.68/x
  3. Step 3: Cross multiply
    2,255.87x = 3,384.07 × 794.68
  4. Step 4: Simplify right side
    2,255.87x = 2,689,242.30
  5. Step 5: Solve for x
    x = 2,689,242.30/2,255.87
  6. Step 6: Final answer
    x = 1,192.11

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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.