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Finding the Fourth Proportional to 2,123.69, 2,930.75 and 1,284.54

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Solution

The fourth proportional to 2,123.69, 2,930.75 and 1,284.54 is: 1,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.69 : 2,930.75 = 1,284.54 : x
  2. Step 2: Convert to fraction form
    2,123.69/2,930.75 = 1,284.54/x
  3. Step 3: Cross multiply
    2,123.69x = 2,930.75 × 1,284.54
  4. Step 4: Simplify right side
    2,123.69x = 3,764,669.49
  5. Step 5: Solve for x
    x = 3,764,669.49/2,123.69
  6. Step 6: Final answer
    x = 1,772.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.