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Finding the Fourth Proportional to 2,411.14, 3,616.26 and 949.54

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Solution

The fourth proportional to 2,411.14, 3,616.26 and 949.54 is: 1,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.14 : 3,616.26 = 949.54 : x
  2. Step 2: Convert to fraction form
    2,411.14/3,616.26 = 949.54/x
  3. Step 3: Cross multiply
    2,411.14x = 3,616.26 × 949.54
  4. Step 4: Simplify right side
    2,411.14x = 3,433,783.52
  5. Step 5: Solve for x
    x = 3,433,783.52/2,411.14
  6. Step 6: Final answer
    x = 1,424.13

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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.