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Finding the Fourth Proportional to 2,490.75, 3,736.13 and 1,029.94

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Solution

The fourth proportional to 2,490.75, 3,736.13 and 1,029.94 is: 1,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.75 : 3,736.13 = 1,029.94 : x
  2. Step 2: Convert to fraction form
    2,490.75/3,736.13 = 1,029.94/x
  3. Step 3: Cross multiply
    2,490.75x = 3,736.13 × 1,029.94
  4. Step 4: Simplify right side
    2,490.75x = 3,847,985.75
  5. Step 5: Solve for x
    x = 3,847,985.75/2,490.75
  6. Step 6: Final answer
    x = 1,544.91

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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.