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Finding the Fourth Proportional to 2,357.24, 3,535.80 and 797.23

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Solution

The fourth proportional to 2,357.24, 3,535.80 and 797.23 is: 1,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.24 : 3,535.80 = 797.23 : x
  2. Step 2: Convert to fraction form
    2,357.24/3,535.80 = 797.23/x
  3. Step 3: Cross multiply
    2,357.24x = 3,535.80 × 797.23
  4. Step 4: Simplify right side
    2,357.24x = 2,818,861.69
  5. Step 5: Solve for x
    x = 2,818,861.69/2,357.24
  6. Step 6: Final answer
    x = 1,195.83

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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.