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Finding the Fourth Proportional to 1,947.50, 2,687.61 and 1,119.50

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Solution

The fourth proportional to 1,947.50, 2,687.61 and 1,119.50 is: 1,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.50 : 2,687.61 = 1,119.50 : x
  2. Step 2: Convert to fraction form
    1,947.50/2,687.61 = 1,119.50/x
  3. Step 3: Cross multiply
    1,947.50x = 2,687.61 × 1,119.50
  4. Step 4: Simplify right side
    1,947.50x = 3,008,779.40
  5. Step 5: Solve for x
    x = 3,008,779.40/1,947.50
  6. Step 6: Final answer
    x = 1,544.94

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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.