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Finding the Fourth Proportional to 2,273.70, 3,410.59 and 713.67

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Solution

The fourth proportional to 2,273.70, 3,410.59 and 713.67 is: 1,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.70 : 3,410.59 = 713.67 : x
  2. Step 2: Convert to fraction form
    2,273.70/3,410.59 = 713.67/x
  3. Step 3: Cross multiply
    2,273.70x = 3,410.59 × 713.67
  4. Step 4: Simplify right side
    2,273.70x = 2,434,015.14
  5. Step 5: Solve for x
    x = 2,434,015.14/2,273.70
  6. Step 6: Final answer
    x = 1,070.51

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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.