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Finding the Fourth Proportional to 2,237.32, 3,355.47 and 850.81

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Solution

The fourth proportional to 2,237.32, 3,355.47 and 850.81 is: 1,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.32 : 3,355.47 = 850.81 : x
  2. Step 2: Convert to fraction form
    2,237.32/3,355.47 = 850.81/x
  3. Step 3: Cross multiply
    2,237.32x = 3,355.47 × 850.81
  4. Step 4: Simplify right side
    2,237.32x = 2,854,867.43
  5. Step 5: Solve for x
    x = 2,854,867.43/2,237.32
  6. Step 6: Final answer
    x = 1,276.02

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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.