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Finding the Fourth Proportional to 2,147.52, 3,224 and 1,786.72

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Solution

The fourth proportional to 2,147.52, 3,224 and 1,786.72 is: 2,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.52 : 3,224 = 1,786.72 : x
  2. Step 2: Convert to fraction form
    2,147.52/3,224 = 1,786.72/x
  3. Step 3: Cross multiply
    2,147.52x = 3,224 × 1,786.72
  4. Step 4: Simplify right side
    2,147.52x = 5,760,385.28
  5. Step 5: Solve for x
    x = 5,760,385.28/2,147.52
  6. Step 6: Final answer
    x = 2,682.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.