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Finding the Fourth Proportional to 1,591.61, 2,191.98 and 1,282.70

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Solution

The fourth proportional to 1,591.61, 2,191.98 and 1,282.70 is: 1,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.61 : 2,191.98 = 1,282.70 : x
  2. Step 2: Convert to fraction form
    1,591.61/2,191.98 = 1,282.70/x
  3. Step 3: Cross multiply
    1,591.61x = 2,191.98 × 1,282.70
  4. Step 4: Simplify right side
    1,591.61x = 2,811,635.37
  5. Step 5: Solve for x
    x = 2,811,635.37/1,591.61
  6. Step 6: Final answer
    x = 1,766.54

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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.