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Finding the Fourth Proportional to 2,490.49, 3,736.50 and 1,029.75

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Solution

The fourth proportional to 2,490.49, 3,736.50 and 1,029.75 is: 1,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.49 : 3,736.50 = 1,029.75 : x
  2. Step 2: Convert to fraction form
    2,490.49/3,736.50 = 1,029.75/x
  3. Step 3: Cross multiply
    2,490.49x = 3,736.50 × 1,029.75
  4. Step 4: Simplify right side
    2,490.49x = 3,847,660.88
  5. Step 5: Solve for x
    x = 3,847,660.88/2,490.49
  6. Step 6: Final answer
    x = 1,544.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.