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Finding the Fourth Proportional to 2,812.28, 3,881.18 and 1,633.28

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Solution

The fourth proportional to 2,812.28, 3,881.18 and 1,633.28 is: 2,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.28 : 3,881.18 = 1,633.28 : x
  2. Step 2: Convert to fraction form
    2,812.28/3,881.18 = 1,633.28/x
  3. Step 3: Cross multiply
    2,812.28x = 3,881.18 × 1,633.28
  4. Step 4: Simplify right side
    2,812.28x = 6,339,026.10
  5. Step 5: Solve for x
    x = 6,339,026.10/2,812.28
  6. Step 6: Final answer
    x = 2,254.06

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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.