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Finding the Fourth Proportional to 2,943.45, 4,415.42 and 863.37

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Solution

The fourth proportional to 2,943.45, 4,415.42 and 863.37 is: 1,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.45 : 4,415.42 = 863.37 : x
  2. Step 2: Convert to fraction form
    2,943.45/4,415.42 = 863.37/x
  3. Step 3: Cross multiply
    2,943.45x = 4,415.42 × 863.37
  4. Step 4: Simplify right side
    2,943.45x = 3,812,141.17
  5. Step 5: Solve for x
    x = 3,812,141.17/2,943.45
  6. Step 6: Final answer
    x = 1,295.13

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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.