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Finding the Fourth Proportional to 2,135.31, 3,204.40 and 748.65

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Solution

The fourth proportional to 2,135.31, 3,204.40 and 748.65 is: 1,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.31 : 3,204.40 = 748.65 : x
  2. Step 2: Convert to fraction form
    2,135.31/3,204.40 = 748.65/x
  3. Step 3: Cross multiply
    2,135.31x = 3,204.40 × 748.65
  4. Step 4: Simplify right side
    2,135.31x = 2,398,974.06
  5. Step 5: Solve for x
    x = 2,398,974.06/2,135.31
  6. Step 6: Final answer
    x = 1,123.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.