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Finding the Fourth Proportional to 2,381, 3,285.76 and 1,318.80

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Solution

The fourth proportional to 2,381, 3,285.76 and 1,318.80 is: 1,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381 : 3,285.76 = 1,318.80 : x
  2. Step 2: Convert to fraction form
    2,381/3,285.76 = 1,318.80/x
  3. Step 3: Cross multiply
    2,381x = 3,285.76 × 1,318.80
  4. Step 4: Simplify right side
    2,381x = 4,333,260.29
  5. Step 5: Solve for x
    x = 4,333,260.29/2,381
  6. Step 6: Final answer
    x = 1,819.93

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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.