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Finding the Fourth Proportional to 1,947.44, 2,684.44 and 1,200

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Solution

The fourth proportional to 1,947.44, 2,684.44 and 1,200 is: 1,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.44 : 2,684.44 = 1,200 : x
  2. Step 2: Convert to fraction form
    1,947.44/2,684.44 = 1,200/x
  3. Step 3: Cross multiply
    1,947.44x = 2,684.44 × 1,200
  4. Step 4: Simplify right side
    1,947.44x = 3,221,328
  5. Step 5: Solve for x
    x = 3,221,328/1,947.44
  6. Step 6: Final answer
    x = 1,654.13

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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.