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Finding the Fourth Proportional to 2,490.60, 3,735.87 and 759.23

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Solution

The fourth proportional to 2,490.60, 3,735.87 and 759.23 is: 1,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.60 : 3,735.87 = 759.23 : x
  2. Step 2: Convert to fraction form
    2,490.60/3,735.87 = 759.23/x
  3. Step 3: Cross multiply
    2,490.60x = 3,735.87 × 759.23
  4. Step 4: Simplify right side
    2,490.60x = 2,836,384.58
  5. Step 5: Solve for x
    x = 2,836,384.58/2,490.60
  6. Step 6: Final answer
    x = 1,138.84

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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.