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Finding the Fourth Proportional to 2,180.93, 3,269.46 and 794.01

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Solution

The fourth proportional to 2,180.93, 3,269.46 and 794.01 is: 1,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.93 : 3,269.46 = 794.01 : x
  2. Step 2: Convert to fraction form
    2,180.93/3,269.46 = 794.01/x
  3. Step 3: Cross multiply
    2,180.93x = 3,269.46 × 794.01
  4. Step 4: Simplify right side
    2,180.93x = 2,595,999.17
  5. Step 5: Solve for x
    x = 2,595,999.17/2,180.93
  6. Step 6: Final answer
    x = 1,190.32

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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.