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Finding the Fourth Proportional to 2,123.11, 3,160.82 and 2,112.82

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Solution

The fourth proportional to 2,123.11, 3,160.82 and 2,112.82 is: 3,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.11 : 3,160.82 = 2,112.82 : x
  2. Step 2: Convert to fraction form
    2,123.11/3,160.82 = 2,112.82/x
  3. Step 3: Cross multiply
    2,123.11x = 3,160.82 × 2,112.82
  4. Step 4: Simplify right side
    2,123.11x = 6,678,241.09
  5. Step 5: Solve for x
    x = 6,678,241.09/2,123.11
  6. Step 6: Final answer
    x = 3,145.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.