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Finding the Fourth Proportional to 2,822.64, 4,234.04 and 2,038

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Solution

The fourth proportional to 2,822.64, 4,234.04 and 2,038 is: 3,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.64 : 4,234.04 = 2,038 : x
  2. Step 2: Convert to fraction form
    2,822.64/4,234.04 = 2,038/x
  3. Step 3: Cross multiply
    2,822.64x = 4,234.04 × 2,038
  4. Step 4: Simplify right side
    2,822.64x = 8,628,973.52
  5. Step 5: Solve for x
    x = 8,628,973.52/2,822.64
  6. Step 6: Final answer
    x = 3,057.06

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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.