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Finding the Fourth Proportional to 2,661.72, 3,992.68 and 713.92

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Solution

The fourth proportional to 2,661.72, 3,992.68 and 713.92 is: 1,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.72 : 3,992.68 = 713.92 : x
  2. Step 2: Convert to fraction form
    2,661.72/3,992.68 = 713.92/x
  3. Step 3: Cross multiply
    2,661.72x = 3,992.68 × 713.92
  4. Step 4: Simplify right side
    2,661.72x = 2,850,454.11
  5. Step 5: Solve for x
    x = 2,850,454.11/2,661.72
  6. Step 6: Final answer
    x = 1,070.91

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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.