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Finding the Fourth Proportional to 1,782.56, 2,672.64 and 1,132.64

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Solution

The fourth proportional to 1,782.56, 2,672.64 and 1,132.64 is: 1,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.56 : 2,672.64 = 1,132.64 : x
  2. Step 2: Convert to fraction form
    1,782.56/2,672.64 = 1,132.64/x
  3. Step 3: Cross multiply
    1,782.56x = 2,672.64 × 1,132.64
  4. Step 4: Simplify right side
    1,782.56x = 3,027,138.97
  5. Step 5: Solve for x
    x = 3,027,138.97/1,782.56
  6. Step 6: Final answer
    x = 1,698.20

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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.