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Finding the Fourth Proportional to 2,824.97, 4,213.58 and 2,662.34

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Solution

The fourth proportional to 2,824.97, 4,213.58 and 2,662.34 is: 3,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.97 : 4,213.58 = 2,662.34 : x
  2. Step 2: Convert to fraction form
    2,824.97/4,213.58 = 2,662.34/x
  3. Step 3: Cross multiply
    2,824.97x = 4,213.58 × 2,662.34
  4. Step 4: Simplify right side
    2,824.97x = 11,217,948.20
  5. Step 5: Solve for x
    x = 11,217,948.20/2,824.97
  6. Step 6: Final answer
    x = 3,971.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.