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Finding the Fourth Proportional to 3,288.63, 4,538.31 and 2,029.68

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Solution

The fourth proportional to 3,288.63, 4,538.31 and 2,029.68 is: 2,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.63 : 4,538.31 = 2,029.68 : x
  2. Step 2: Convert to fraction form
    3,288.63/4,538.31 = 2,029.68/x
  3. Step 3: Cross multiply
    3,288.63x = 4,538.31 × 2,029.68
  4. Step 4: Simplify right side
    3,288.63x = 9,211,317.04
  5. Step 5: Solve for x
    x = 9,211,317.04/3,288.63
  6. Step 6: Final answer
    x = 2,800.96

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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.