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Finding the Fourth Proportional to 2,630.68, 3,941.34 and 2,344.64

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Solution

The fourth proportional to 2,630.68, 3,941.34 and 2,344.64 is: 3,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.68 : 3,941.34 = 2,344.64 : x
  2. Step 2: Convert to fraction form
    2,630.68/3,941.34 = 2,344.64/x
  3. Step 3: Cross multiply
    2,630.68x = 3,941.34 × 2,344.64
  4. Step 4: Simplify right side
    2,630.68x = 9,241,023.42
  5. Step 5: Solve for x
    x = 9,241,023.42/2,630.68
  6. Step 6: Final answer
    x = 3,512.79

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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.