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Finding the Fourth Proportional to 1,947.72, 2,683.32 and 1,357.22

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Solution

The fourth proportional to 1,947.72, 2,683.32 and 1,357.22 is: 1,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.72 : 2,683.32 = 1,357.22 : x
  2. Step 2: Convert to fraction form
    1,947.72/2,683.32 = 1,357.22/x
  3. Step 3: Cross multiply
    1,947.72x = 2,683.32 × 1,357.22
  4. Step 4: Simplify right side
    1,947.72x = 3,641,855.57
  5. Step 5: Solve for x
    x = 3,641,855.57/1,947.72
  6. Step 6: Final answer
    x = 1,869.80

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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.