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Finding the Fourth Proportional to 1,947.67, 2,903.47 and 1,917.70

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Solution

The fourth proportional to 1,947.67, 2,903.47 and 1,917.70 is: 2,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.67 : 2,903.47 = 1,917.70 : x
  2. Step 2: Convert to fraction form
    1,947.67/2,903.47 = 1,917.70/x
  3. Step 3: Cross multiply
    1,947.67x = 2,903.47 × 1,917.70
  4. Step 4: Simplify right side
    1,947.67x = 5,567,972.37
  5. Step 5: Solve for x
    x = 5,567,972.37/1,947.67
  6. Step 6: Final answer
    x = 2,858.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.