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Finding the Fourth Proportional to 2,380.67, 3,285.34 and 1,332.74

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Solution

The fourth proportional to 2,380.67, 3,285.34 and 1,332.74 is: 1,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.67 : 3,285.34 = 1,332.74 : x
  2. Step 2: Convert to fraction form
    2,380.67/3,285.34 = 1,332.74/x
  3. Step 3: Cross multiply
    2,380.67x = 3,285.34 × 1,332.74
  4. Step 4: Simplify right side
    2,380.67x = 4,378,490.43
  5. Step 5: Solve for x
    x = 4,378,490.43/2,380.67
  6. Step 6: Final answer
    x = 1,839.18

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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.