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Finding the Fourth Proportional to 2,661.12, 3,991.38 and 713.46

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Solution

The fourth proportional to 2,661.12, 3,991.38 and 713.46 is: 1,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.12 : 3,991.38 = 713.46 : x
  2. Step 2: Convert to fraction form
    2,661.12/3,991.38 = 713.46/x
  3. Step 3: Cross multiply
    2,661.12x = 3,991.38 × 713.46
  4. Step 4: Simplify right side
    2,661.12x = 2,847,689.97
  5. Step 5: Solve for x
    x = 2,847,689.97/2,661.12
  6. Step 6: Final answer
    x = 1,070.11

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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.