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Finding the Fourth Proportional to 2,533.06, 3,797.46 and 890.68

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Solution

The fourth proportional to 2,533.06, 3,797.46 and 890.68 is: 1,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.06 : 3,797.46 = 890.68 : x
  2. Step 2: Convert to fraction form
    2,533.06/3,797.46 = 890.68/x
  3. Step 3: Cross multiply
    2,533.06x = 3,797.46 × 890.68
  4. Step 4: Simplify right side
    2,533.06x = 3,382,321.67
  5. Step 5: Solve for x
    x = 3,382,321.67/2,533.06
  6. Step 6: Final answer
    x = 1,335.27

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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.