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Finding the Fourth Proportional to 2,943.63, 4,414.50 and 2,749.50

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Solution

The fourth proportional to 2,943.63, 4,414.50 and 2,749.50 is: 4,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.63 : 4,414.50 = 2,749.50 : x
  2. Step 2: Convert to fraction form
    2,943.63/4,414.50 = 2,749.50/x
  3. Step 3: Cross multiply
    2,943.63x = 4,414.50 × 2,749.50
  4. Step 4: Simplify right side
    2,943.63x = 12,137,667.75
  5. Step 5: Solve for x
    x = 12,137,667.75/2,943.63
  6. Step 6: Final answer
    x = 4,123.37

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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.