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Finding the Fourth Proportional to 2,535.57, 3,793.79 and 1,496.14

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Solution

The fourth proportional to 2,535.57, 3,793.79 and 1,496.14 is: 2,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.57 : 3,793.79 = 1,496.14 : x
  2. Step 2: Convert to fraction form
    2,535.57/3,793.79 = 1,496.14/x
  3. Step 3: Cross multiply
    2,535.57x = 3,793.79 × 1,496.14
  4. Step 4: Simplify right side
    2,535.57x = 5,676,026.81
  5. Step 5: Solve for x
    x = 5,676,026.81/2,535.57
  6. Step 6: Final answer
    x = 2,238.56

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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.