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Finding the Fourth Proportional to 2,410.92, 3,616.19 and 950.09

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Solution

The fourth proportional to 2,410.92, 3,616.19 and 950.09 is: 1,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.92 : 3,616.19 = 950.09 : x
  2. Step 2: Convert to fraction form
    2,410.92/3,616.19 = 950.09/x
  3. Step 3: Cross multiply
    2,410.92x = 3,616.19 × 950.09
  4. Step 4: Simplify right side
    2,410.92x = 3,435,690.25
  5. Step 5: Solve for x
    x = 3,435,690.25/2,410.92
  6. Step 6: Final answer
    x = 1,425.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.