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Finding the Fourth Proportional to 2,812.41, 3,881.47 and 1,633.48

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Solution

The fourth proportional to 2,812.41, 3,881.47 and 1,633.48 is: 2,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.41 : 3,881.47 = 1,633.48 : x
  2. Step 2: Convert to fraction form
    2,812.41/3,881.47 = 1,633.48/x
  3. Step 3: Cross multiply
    2,812.41x = 3,881.47 × 1,633.48
  4. Step 4: Simplify right side
    2,812.41x = 6,340,314.72
  5. Step 5: Solve for x
    x = 6,340,314.72/2,812.41
  6. Step 6: Final answer
    x = 2,254.41

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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.