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Finding the Fourth Proportional to 2,135.51, 3,204.69 and 748.85

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Solution

The fourth proportional to 2,135.51, 3,204.69 and 748.85 is: 1,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.51 : 3,204.69 = 748.85 : x
  2. Step 2: Convert to fraction form
    2,135.51/3,204.69 = 748.85/x
  3. Step 3: Cross multiply
    2,135.51x = 3,204.69 × 748.85
  4. Step 4: Simplify right side
    2,135.51x = 2,399,816.08
  5. Step 5: Solve for x
    x = 2,399,816.08/2,135.51
  6. Step 6: Final answer
    x = 1,123.77

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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.