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Finding the Fourth Proportional to 2,947.63, 4,067.36 and 1,752.64

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Solution

The fourth proportional to 2,947.63, 4,067.36 and 1,752.64 is: 2,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.63 : 4,067.36 = 1,752.64 : x
  2. Step 2: Convert to fraction form
    2,947.63/4,067.36 = 1,752.64/x
  3. Step 3: Cross multiply
    2,947.63x = 4,067.36 × 1,752.64
  4. Step 4: Simplify right side
    2,947.63x = 7,128,615.33
  5. Step 5: Solve for x
    x = 7,128,615.33/2,947.63
  6. Step 6: Final answer
    x = 2,418.42

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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.