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Finding the Fourth Proportional to 1,591.42, 2,191.16 and 1,445.62

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Solution

The fourth proportional to 1,591.42, 2,191.16 and 1,445.62 is: 1,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.42 : 2,191.16 = 1,445.62 : x
  2. Step 2: Convert to fraction form
    1,591.42/2,191.16 = 1,445.62/x
  3. Step 3: Cross multiply
    1,591.42x = 2,191.16 × 1,445.62
  4. Step 4: Simplify right side
    1,591.42x = 3,167,584.72
  5. Step 5: Solve for x
    x = 3,167,584.72/1,591.42
  6. Step 6: Final answer
    x = 1,990.41

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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.