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Finding the Fourth Proportional to 2,273.09, 3,410.10 and 713.03

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Solution

The fourth proportional to 2,273.09, 3,410.10 and 713.03 is: 1,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.09 : 3,410.10 = 713.03 : x
  2. Step 2: Convert to fraction form
    2,273.09/3,410.10 = 713.03/x
  3. Step 3: Cross multiply
    2,273.09x = 3,410.10 × 713.03
  4. Step 4: Simplify right side
    2,273.09x = 2,431,503.60
  5. Step 5: Solve for x
    x = 2,431,503.60/2,273.09
  6. Step 6: Final answer
    x = 1,069.69

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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.