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Finding the Fourth Proportional to 2,942.98, 4,415.15 and 863.15

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Solution

The fourth proportional to 2,942.98, 4,415.15 and 863.15 is: 1,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.98 : 4,415.15 = 863.15 : x
  2. Step 2: Convert to fraction form
    2,942.98/4,415.15 = 863.15/x
  3. Step 3: Cross multiply
    2,942.98x = 4,415.15 × 863.15
  4. Step 4: Simplify right side
    2,942.98x = 3,810,916.80
  5. Step 5: Solve for x
    x = 3,810,916.80/2,942.98
  6. Step 6: Final answer
    x = 1,294.92

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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.