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Finding the Fourth Proportional to 2,782.32, 4,170.24 and 1,136.88

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Solution

The fourth proportional to 2,782.32, 4,170.24 and 1,136.88 is: 1,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.32 : 4,170.24 = 1,136.88 : x
  2. Step 2: Convert to fraction form
    2,782.32/4,170.24 = 1,136.88/x
  3. Step 3: Cross multiply
    2,782.32x = 4,170.24 × 1,136.88
  4. Step 4: Simplify right side
    2,782.32x = 4,741,062.45
  5. Step 5: Solve for x
    x = 4,741,062.45/2,782.32
  6. Step 6: Final answer
    x = 1,704.00

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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.