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Finding the Fourth Proportional to 2,961.96, 4,438.08 and 1,013.10

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Solution

The fourth proportional to 2,961.96, 4,438.08 and 1,013.10 is: 1,517.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.96 : 4,438.08 = 1,013.10 : x
  2. Step 2: Convert to fraction form
    2,961.96/4,438.08 = 1,013.10/x
  3. Step 3: Cross multiply
    2,961.96x = 4,438.08 × 1,013.10
  4. Step 4: Simplify right side
    2,961.96x = 4,496,213.78
  5. Step 5: Solve for x
    x = 4,496,213.78/2,961.96
  6. Step 6: Final answer
    x = 1,517.99

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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.