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Finding the Fourth Proportional to 2,661.39, 3,992.22 and 930.15

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Solution

The fourth proportional to 2,661.39, 3,992.22 and 930.15 is: 1,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.39 : 3,992.22 = 930.15 : x
  2. Step 2: Convert to fraction form
    2,661.39/3,992.22 = 930.15/x
  3. Step 3: Cross multiply
    2,661.39x = 3,992.22 × 930.15
  4. Step 4: Simplify right side
    2,661.39x = 3,713,363.43
  5. Step 5: Solve for x
    x = 3,713,363.43/2,661.39
  6. Step 6: Final answer
    x = 1,395.27

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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.