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Finding the Fourth Proportional to 2,812.38, 3,881.08 and 1,634.16

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Solution

The fourth proportional to 2,812.38, 3,881.08 and 1,634.16 is: 2,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.38 : 3,881.08 = 1,634.16 : x
  2. Step 2: Convert to fraction form
    2,812.38/3,881.08 = 1,634.16/x
  3. Step 3: Cross multiply
    2,812.38x = 3,881.08 × 1,634.16
  4. Step 4: Simplify right side
    2,812.38x = 6,342,305.69
  5. Step 5: Solve for x
    x = 6,342,305.69/2,812.38
  6. Step 6: Final answer
    x = 2,255.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.