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Finding the Fourth Proportional to 2,410.10, 3,616.05 and 950.27

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Solution

The fourth proportional to 2,410.10, 3,616.05 and 950.27 is: 1,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.10 : 3,616.05 = 950.27 : x
  2. Step 2: Convert to fraction form
    2,410.10/3,616.05 = 950.27/x
  3. Step 3: Cross multiply
    2,410.10x = 3,616.05 × 950.27
  4. Step 4: Simplify right side
    2,410.10x = 3,436,223.83
  5. Step 5: Solve for x
    x = 3,436,223.83/2,410.10
  6. Step 6: Final answer
    x = 1,425.76

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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.