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Finding the Fourth Proportional to 2,638.42, 3,958.04 and 883.10

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Solution

The fourth proportional to 2,638.42, 3,958.04 and 883.10 is: 1,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.42 : 3,958.04 = 883.10 : x
  2. Step 2: Convert to fraction form
    2,638.42/3,958.04 = 883.10/x
  3. Step 3: Cross multiply
    2,638.42x = 3,958.04 × 883.10
  4. Step 4: Simplify right side
    2,638.42x = 3,495,325.33
  5. Step 5: Solve for x
    x = 3,495,325.33/2,638.42
  6. Step 6: Final answer
    x = 1,324.78

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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.