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Finding the Fourth Proportional to 2,818.97, 3,887.56 and 2,112.51

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Solution

The fourth proportional to 2,818.97, 3,887.56 and 2,112.51 is: 2,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.97 : 3,887.56 = 2,112.51 : x
  2. Step 2: Convert to fraction form
    2,818.97/3,887.56 = 2,112.51/x
  3. Step 3: Cross multiply
    2,818.97x = 3,887.56 × 2,112.51
  4. Step 4: Simplify right side
    2,818.97x = 8,212,509.38
  5. Step 5: Solve for x
    x = 8,212,509.38/2,818.97
  6. Step 6: Final answer
    x = 2,913.30

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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.