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Finding the Fourth Proportional to 2,079.86, 3,121.16 and 909.81

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Solution

The fourth proportional to 2,079.86, 3,121.16 and 909.81 is: 1,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.86 : 3,121.16 = 909.81 : x
  2. Step 2: Convert to fraction form
    2,079.86/3,121.16 = 909.81/x
  3. Step 3: Cross multiply
    2,079.86x = 3,121.16 × 909.81
  4. Step 4: Simplify right side
    2,079.86x = 2,839,658.03
  5. Step 5: Solve for x
    x = 2,839,658.03/2,079.86
  6. Step 6: Final answer
    x = 1,365.32

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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.