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Finding the Fourth Proportional to 2,123.54, 2,930.92 and 1,284.38

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Solution

The fourth proportional to 2,123.54, 2,930.92 and 1,284.38 is: 1,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.54 : 2,930.92 = 1,284.38 : x
  2. Step 2: Convert to fraction form
    2,123.54/2,930.92 = 1,284.38/x
  3. Step 3: Cross multiply
    2,123.54x = 2,930.92 × 1,284.38
  4. Step 4: Simplify right side
    2,123.54x = 3,764,415.03
  5. Step 5: Solve for x
    x = 3,764,415.03/2,123.54
  6. Step 6: Final answer
    x = 1,772.71

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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.