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Finding the Fourth Proportional to 2,490.44, 3,735.68 and 1,029.64

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Solution

The fourth proportional to 2,490.44, 3,735.68 and 1,029.64 is: 1,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.44 : 3,735.68 = 1,029.64 : x
  2. Step 2: Convert to fraction form
    2,490.44/3,735.68 = 1,029.64/x
  3. Step 3: Cross multiply
    2,490.44x = 3,735.68 × 1,029.64
  4. Step 4: Simplify right side
    2,490.44x = 3,846,391.07
  5. Step 5: Solve for x
    x = 3,846,391.07/2,490.44
  6. Step 6: Final answer
    x = 1,544.46

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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.