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Finding the Fourth Proportional to 2,661.86, 3,990.94 and 1,180.28

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Solution

The fourth proportional to 2,661.86, 3,990.94 and 1,180.28 is: 1,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.86 : 3,990.94 = 1,180.28 : x
  2. Step 2: Convert to fraction form
    2,661.86/3,990.94 = 1,180.28/x
  3. Step 3: Cross multiply
    2,661.86x = 3,990.94 × 1,180.28
  4. Step 4: Simplify right side
    2,661.86x = 4,710,426.66
  5. Step 5: Solve for x
    x = 4,710,426.66/2,661.86
  6. Step 6: Final answer
    x = 1,769.60

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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.