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Finding the Fourth Proportional to 3,288.70, 4,538.40 and 1,796.68

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Solution

The fourth proportional to 3,288.70, 4,538.40 and 1,796.68 is: 2,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.70 : 4,538.40 = 1,796.68 : x
  2. Step 2: Convert to fraction form
    3,288.70/4,538.40 = 1,796.68/x
  3. Step 3: Cross multiply
    3,288.70x = 4,538.40 × 1,796.68
  4. Step 4: Simplify right side
    3,288.70x = 8,154,052.51
  5. Step 5: Solve for x
    x = 8,154,052.51/3,288.70
  6. Step 6: Final answer
    x = 2,479.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.