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Finding the Fourth Proportional to 2,612.26, 3,917.13 and 1,516.90

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Solution

The fourth proportional to 2,612.26, 3,917.13 and 1,516.90 is: 2,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.26 : 3,917.13 = 1,516.90 : x
  2. Step 2: Convert to fraction form
    2,612.26/3,917.13 = 1,516.90/x
  3. Step 3: Cross multiply
    2,612.26x = 3,917.13 × 1,516.90
  4. Step 4: Simplify right side
    2,612.26x = 5,941,894.50
  5. Step 5: Solve for x
    x = 5,941,894.50/2,612.26
  6. Step 6: Final answer
    x = 2,274.62

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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.