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Finding the Fourth Proportional to 3,191.59, 4,786.17 and 1,459

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Solution

The fourth proportional to 3,191.59, 4,786.17 and 1,459 is: 2,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.59 : 4,786.17 = 1,459 : x
  2. Step 2: Convert to fraction form
    3,191.59/4,786.17 = 1,459/x
  3. Step 3: Cross multiply
    3,191.59x = 4,786.17 × 1,459
  4. Step 4: Simplify right side
    3,191.59x = 6,983,022.03
  5. Step 5: Solve for x
    x = 6,983,022.03/3,191.59
  6. Step 6: Final answer
    x = 2,187.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.