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Finding the Fourth Proportional to 2,493.53, 3,440.78 and 1,431.01

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Solution

The fourth proportional to 2,493.53, 3,440.78 and 1,431.01 is: 1,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.53 : 3,440.78 = 1,431.01 : x
  2. Step 2: Convert to fraction form
    2,493.53/3,440.78 = 1,431.01/x
  3. Step 3: Cross multiply
    2,493.53x = 3,440.78 × 1,431.01
  4. Step 4: Simplify right side
    2,493.53x = 4,923,773.38
  5. Step 5: Solve for x
    x = 4,923,773.38/2,493.53
  6. Step 6: Final answer
    x = 1,974.62

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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.