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Finding the Fourth Proportional to 2,411.82, 3,616.32 and 950.16

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Solution

The fourth proportional to 2,411.82, 3,616.32 and 950.16 is: 1,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.82 : 3,616.32 = 950.16 : x
  2. Step 2: Convert to fraction form
    2,411.82/3,616.32 = 950.16/x
  3. Step 3: Cross multiply
    2,411.82x = 3,616.32 × 950.16
  4. Step 4: Simplify right side
    2,411.82x = 3,436,082.61
  5. Step 5: Solve for x
    x = 3,436,082.61/2,411.82
  6. Step 6: Final answer
    x = 1,424.68

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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.