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Finding the Fourth Proportional to 2,661.73, 3,992.61 and 930.34

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Solution

The fourth proportional to 2,661.73, 3,992.61 and 930.34 is: 1,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.73 : 3,992.61 = 930.34 : x
  2. Step 2: Convert to fraction form
    2,661.73/3,992.61 = 930.34/x
  3. Step 3: Cross multiply
    2,661.73x = 3,992.61 × 930.34
  4. Step 4: Simplify right side
    2,661.73x = 3,714,484.79
  5. Step 5: Solve for x
    x = 3,714,484.79/2,661.73
  6. Step 6: Final answer
    x = 1,395.52

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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.