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Finding the Fourth Proportional to 2,786.40, 4,171.68 and 2,492.64

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Solution

The fourth proportional to 2,786.40, 4,171.68 and 2,492.64 is: 3,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.40 : 4,171.68 = 2,492.64 : x
  2. Step 2: Convert to fraction form
    2,786.40/4,171.68 = 2,492.64/x
  3. Step 3: Cross multiply
    2,786.40x = 4,171.68 × 2,492.64
  4. Step 4: Simplify right side
    2,786.40x = 10,398,496.44
  5. Step 5: Solve for x
    x = 10,398,496.44/2,786.40
  6. Step 6: Final answer
    x = 3,731.87

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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.