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Finding the Fourth Proportional to 2,490.64, 3,736.14 and 759.26

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Solution

The fourth proportional to 2,490.64, 3,736.14 and 759.26 is: 1,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.64 : 3,736.14 = 759.26 : x
  2. Step 2: Convert to fraction form
    2,490.64/3,736.14 = 759.26/x
  3. Step 3: Cross multiply
    2,490.64x = 3,736.14 × 759.26
  4. Step 4: Simplify right side
    2,490.64x = 2,836,701.66
  5. Step 5: Solve for x
    x = 2,836,701.66/2,490.64
  6. Step 6: Final answer
    x = 1,138.94

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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.