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Finding the Fourth Proportional to 2,825.50, 3,899.64 and 2,226.64

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Solution

The fourth proportional to 2,825.50, 3,899.64 and 2,226.64 is: 3,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.50 : 3,899.64 = 2,226.64 : x
  2. Step 2: Convert to fraction form
    2,825.50/3,899.64 = 2,226.64/x
  3. Step 3: Cross multiply
    2,825.50x = 3,899.64 × 2,226.64
  4. Step 4: Simplify right side
    2,825.50x = 8,683,094.41
  5. Step 5: Solve for x
    x = 8,683,094.41/2,825.50
  6. Step 6: Final answer
    x = 3,073.12

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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.