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Finding the Fourth Proportional to 2,355.05, 3,532.46 and 794.53

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Solution

The fourth proportional to 2,355.05, 3,532.46 and 794.53 is: 1,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.05 : 3,532.46 = 794.53 : x
  2. Step 2: Convert to fraction form
    2,355.05/3,532.46 = 794.53/x
  3. Step 3: Cross multiply
    2,355.05x = 3,532.46 × 794.53
  4. Step 4: Simplify right side
    2,355.05x = 2,806,660.29
  5. Step 5: Solve for x
    x = 2,806,660.29/2,355.05
  6. Step 6: Final answer
    x = 1,191.76

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Why These Related Problems?

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