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Finding the Fourth Proportional to 2,380.98, 3,285.57 and 1,332.90

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Solution

The fourth proportional to 2,380.98, 3,285.57 and 1,332.90 is: 1,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.98 : 3,285.57 = 1,332.90 : x
  2. Step 2: Convert to fraction form
    2,380.98/3,285.57 = 1,332.90/x
  3. Step 3: Cross multiply
    2,380.98x = 3,285.57 × 1,332.90
  4. Step 4: Simplify right side
    2,380.98x = 4,379,336.25
  5. Step 5: Solve for x
    x = 4,379,336.25/2,380.98
  6. Step 6: Final answer
    x = 1,839.30

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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.