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Finding the Fourth Proportional to 2,123.57, 2,930.80 and 1,192.07

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Solution

The fourth proportional to 2,123.57, 2,930.80 and 1,192.07 is: 1,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.57 : 2,930.80 = 1,192.07 : x
  2. Step 2: Convert to fraction form
    2,123.57/2,930.80 = 1,192.07/x
  3. Step 3: Cross multiply
    2,123.57x = 2,930.80 × 1,192.07
  4. Step 4: Simplify right side
    2,123.57x = 3,493,704.10
  5. Step 5: Solve for x
    x = 3,493,704.10/2,123.57
  6. Step 6: Final answer
    x = 1,645.21

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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.