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Finding the Fourth Proportional to 2,411.63, 3,614.20 and 950.39

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Solution

The fourth proportional to 2,411.63, 3,614.20 and 950.39 is: 1,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.63 : 3,614.20 = 950.39 : x
  2. Step 2: Convert to fraction form
    2,411.63/3,614.20 = 950.39/x
  3. Step 3: Cross multiply
    2,411.63x = 3,614.20 × 950.39
  4. Step 4: Simplify right side
    2,411.63x = 3,434,899.54
  5. Step 5: Solve for x
    x = 3,434,899.54/2,411.63
  6. Step 6: Final answer
    x = 1,424.31

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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.