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Finding the Fourth Proportional to 3,206.13, 4,809.37 and 897.81

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Solution

The fourth proportional to 3,206.13, 4,809.37 and 897.81 is: 1,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.13 : 4,809.37 = 897.81 : x
  2. Step 2: Convert to fraction form
    3,206.13/4,809.37 = 897.81/x
  3. Step 3: Cross multiply
    3,206.13x = 4,809.37 × 897.81
  4. Step 4: Simplify right side
    3,206.13x = 4,317,900.48
  5. Step 5: Solve for x
    x = 4,317,900.48/3,206.13
  6. Step 6: Final answer
    x = 1,346.76

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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.