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Finding the Fourth Proportional to 2,294.30, 3,167.48 and 1,664.22

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Solution

The fourth proportional to 2,294.30, 3,167.48 and 1,664.22 is: 2,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.30 : 3,167.48 = 1,664.22 : x
  2. Step 2: Convert to fraction form
    2,294.30/3,167.48 = 1,664.22/x
  3. Step 3: Cross multiply
    2,294.30x = 3,167.48 × 1,664.22
  4. Step 4: Simplify right side
    2,294.30x = 5,271,375.24
  5. Step 5: Solve for x
    x = 5,271,375.24/2,294.30
  6. Step 6: Final answer
    x = 2,297.60

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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.