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Finding the Fourth Proportional to 2,411.17, 3,616.62 and 850.57

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Solution

The fourth proportional to 2,411.17, 3,616.62 and 850.57 is: 1,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.17 : 3,616.62 = 850.57 : x
  2. Step 2: Convert to fraction form
    2,411.17/3,616.62 = 850.57/x
  3. Step 3: Cross multiply
    2,411.17x = 3,616.62 × 850.57
  4. Step 4: Simplify right side
    2,411.17x = 3,076,188.47
  5. Step 5: Solve for x
    x = 3,076,188.47/2,411.17
  6. Step 6: Final answer
    x = 1,275.81

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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.