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Finding the Fourth Proportional to 2,381.59, 3,283.45 and 1,954.66

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Solution

The fourth proportional to 2,381.59, 3,283.45 and 1,954.66 is: 2,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.59 : 3,283.45 = 1,954.66 : x
  2. Step 2: Convert to fraction form
    2,381.59/3,283.45 = 1,954.66/x
  3. Step 3: Cross multiply
    2,381.59x = 3,283.45 × 1,954.66
  4. Step 4: Simplify right side
    2,381.59x = 6,418,028.38
  5. Step 5: Solve for x
    x = 6,418,028.38/2,381.59
  6. Step 6: Final answer
    x = 2,694.85

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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.