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Finding the Fourth Proportional to 2,812.38, 3,881.07 and 1,633.74

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Solution

The fourth proportional to 2,812.38, 3,881.07 and 1,633.74 is: 2,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.38 : 3,881.07 = 1,633.74 : x
  2. Step 2: Convert to fraction form
    2,812.38/3,881.07 = 1,633.74/x
  3. Step 3: Cross multiply
    2,812.38x = 3,881.07 × 1,633.74
  4. Step 4: Simplify right side
    2,812.38x = 6,340,659.30
  5. Step 5: Solve for x
    x = 6,340,659.30/2,812.38
  6. Step 6: Final answer
    x = 2,254.55

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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.