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Finding the Fourth Proportional to 1,908.94, 2,632.63 and 1,311.16

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Solution

The fourth proportional to 1,908.94, 2,632.63 and 1,311.16 is: 1,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.94 : 2,632.63 = 1,311.16 : x
  2. Step 2: Convert to fraction form
    1,908.94/2,632.63 = 1,311.16/x
  3. Step 3: Cross multiply
    1,908.94x = 2,632.63 × 1,311.16
  4. Step 4: Simplify right side
    1,908.94x = 3,451,799.15
  5. Step 5: Solve for x
    x = 3,451,799.15/1,908.94
  6. Step 6: Final answer
    x = 1,808.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.