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Finding the Fourth Proportional to 2,123.86, 2,930.25 and 1,192.18

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Solution

The fourth proportional to 2,123.86, 2,930.25 and 1,192.18 is: 1,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.86 : 2,930.25 = 1,192.18 : x
  2. Step 2: Convert to fraction form
    2,123.86/2,930.25 = 1,192.18/x
  3. Step 3: Cross multiply
    2,123.86x = 2,930.25 × 1,192.18
  4. Step 4: Simplify right side
    2,123.86x = 3,493,385.45
  5. Step 5: Solve for x
    x = 3,493,385.45/2,123.86
  6. Step 6: Final answer
    x = 1,644.83

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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.