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Finding the Fourth Proportional to 1,591.83, 2,191.83 and 1,381.64

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Solution

The fourth proportional to 1,591.83, 2,191.83 and 1,381.64 is: 1,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.83 : 2,191.83 = 1,381.64 : x
  2. Step 2: Convert to fraction form
    1,591.83/2,191.83 = 1,381.64/x
  3. Step 3: Cross multiply
    1,591.83x = 2,191.83 × 1,381.64
  4. Step 4: Simplify right side
    1,591.83x = 3,028,309.04
  5. Step 5: Solve for x
    x = 3,028,309.04/1,591.83
  6. Step 6: Final answer
    x = 1,902.41

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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.