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Finding the Fourth Proportional to 2,661.36, 3,992.04 and 713.51

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Solution

The fourth proportional to 2,661.36, 3,992.04 and 713.51 is: 1,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.36 : 3,992.04 = 713.51 : x
  2. Step 2: Convert to fraction form
    2,661.36/3,992.04 = 713.51/x
  3. Step 3: Cross multiply
    2,661.36x = 3,992.04 × 713.51
  4. Step 4: Simplify right side
    2,661.36x = 2,848,370.44
  5. Step 5: Solve for x
    x = 2,848,370.44/2,661.36
  6. Step 6: Final answer
    x = 1,070.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.