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Finding the Fourth Proportional to 2,936.63, 4,404 and 2,742.50

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Solution

The fourth proportional to 2,936.63, 4,404 and 2,742.50 is: 4,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.63 : 4,404 = 2,742.50 : x
  2. Step 2: Convert to fraction form
    2,936.63/4,404 = 2,742.50/x
  3. Step 3: Cross multiply
    2,936.63x = 4,404 × 2,742.50
  4. Step 4: Simplify right side
    2,936.63x = 12,077,970
  5. Step 5: Solve for x
    x = 12,077,970/2,936.63
  6. Step 6: Final answer
    x = 4,112.87

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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.