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Finding the Fourth Proportional to 2,591.26, 3,572.31 and 2,191.31

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Solution

The fourth proportional to 2,591.26, 3,572.31 and 2,191.31 is: 3,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.26 : 3,572.31 = 2,191.31 : x
  2. Step 2: Convert to fraction form
    2,591.26/3,572.31 = 2,191.31/x
  3. Step 3: Cross multiply
    2,591.26x = 3,572.31 × 2,191.31
  4. Step 4: Simplify right side
    2,591.26x = 7,828,043.09
  5. Step 5: Solve for x
    x = 7,828,043.09/2,591.26
  6. Step 6: Final answer
    x = 3,020.95

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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.