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Finding the Fourth Proportional to 2,123.69, 2,930.74 and 1,192.19

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Solution

The fourth proportional to 2,123.69, 2,930.74 and 1,192.19 is: 1,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.69 : 2,930.74 = 1,192.19 : x
  2. Step 2: Convert to fraction form
    2,123.69/2,930.74 = 1,192.19/x
  3. Step 3: Cross multiply
    2,123.69x = 2,930.74 × 1,192.19
  4. Step 4: Simplify right side
    2,123.69x = 3,493,998.92
  5. Step 5: Solve for x
    x = 3,493,998.92/2,123.69
  6. Step 6: Final answer
    x = 1,645.25

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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.