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Finding the Fourth Proportional to 2,661.26, 3,991.34 and 713.00

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Solution

The fourth proportional to 2,661.26, 3,991.34 and 713.00 is: 1,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.26 : 3,991.34 = 713.00 : x
  2. Step 2: Convert to fraction form
    2,661.26/3,991.34 = 713.00/x
  3. Step 3: Cross multiply
    2,661.26x = 3,991.34 × 713.00
  4. Step 4: Simplify right side
    2,661.26x = 2,845,837.18
  5. Step 5: Solve for x
    x = 2,845,837.18/2,661.26
  6. Step 6: Final answer
    x = 1,069.36

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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.