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Finding the Fourth Proportional to 2,411.17, 3,616.57 and 950.34

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Solution

The fourth proportional to 2,411.17, 3,616.57 and 950.34 is: 1,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.17 : 3,616.57 = 950.34 : x
  2. Step 2: Convert to fraction form
    2,411.17/3,616.57 = 950.34/x
  3. Step 3: Cross multiply
    2,411.17x = 3,616.57 × 950.34
  4. Step 4: Simplify right side
    2,411.17x = 3,436,971.13
  5. Step 5: Solve for x
    x = 3,436,971.13/2,411.17
  6. Step 6: Final answer
    x = 1,425.44

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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.