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Finding the Fourth Proportional to 1,209.31, 1,821.42 and 1,123.76

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Solution

The fourth proportional to 1,209.31, 1,821.42 and 1,123.76 is: 1,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.31 : 1,821.42 = 1,123.76 : x
  2. Step 2: Convert to fraction form
    1,209.31/1,821.42 = 1,123.76/x
  3. Step 3: Cross multiply
    1,209.31x = 1,821.42 × 1,123.76
  4. Step 4: Simplify right side
    1,209.31x = 2,046,833.25
  5. Step 5: Solve for x
    x = 2,046,833.25/1,209.31
  6. Step 6: Final answer
    x = 1,692.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.