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Finding the Fourth Proportional to 2,174.36, 3,260.86 and 713.18

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Solution

The fourth proportional to 2,174.36, 3,260.86 and 713.18 is: 1,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.36 : 3,260.86 = 713.18 : x
  2. Step 2: Convert to fraction form
    2,174.36/3,260.86 = 713.18/x
  3. Step 3: Cross multiply
    2,174.36x = 3,260.86 × 713.18
  4. Step 4: Simplify right side
    2,174.36x = 2,325,562.05
  5. Step 5: Solve for x
    x = 2,325,562.05/2,174.36
  6. Step 6: Final answer
    x = 1,069.54

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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.