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Finding the Fourth Proportional to 2,661.60, 3,992.10 and 713.96

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Solution

The fourth proportional to 2,661.60, 3,992.10 and 713.96 is: 1,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.60 : 3,992.10 = 713.96 : x
  2. Step 2: Convert to fraction form
    2,661.60/3,992.10 = 713.96/x
  3. Step 3: Cross multiply
    2,661.60x = 3,992.10 × 713.96
  4. Step 4: Simplify right side
    2,661.60x = 2,850,199.72
  5. Step 5: Solve for x
    x = 2,850,199.72/2,661.60
  6. Step 6: Final answer
    x = 1,070.86

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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.