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Finding the Fourth Proportional to 2,380.70, 3,285.33 and 1,332.80

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Solution

The fourth proportional to 2,380.70, 3,285.33 and 1,332.80 is: 1,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.70 : 3,285.33 = 1,332.80 : x
  2. Step 2: Convert to fraction form
    2,380.70/3,285.33 = 1,332.80/x
  3. Step 3: Cross multiply
    2,380.70x = 3,285.33 × 1,332.80
  4. Step 4: Simplify right side
    2,380.70x = 4,378,687.82
  5. Step 5: Solve for x
    x = 4,378,687.82/2,380.70
  6. Step 6: Final answer
    x = 1,839.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.