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Finding the Fourth Proportional to 3,288.60, 4,538.16 and 2,029.68

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Solution

The fourth proportional to 3,288.60, 4,538.16 and 2,029.68 is: 2,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.60 : 4,538.16 = 2,029.68 : x
  2. Step 2: Convert to fraction form
    3,288.60/4,538.16 = 2,029.68/x
  3. Step 3: Cross multiply
    3,288.60x = 4,538.16 × 2,029.68
  4. Step 4: Simplify right side
    3,288.60x = 9,211,012.59
  5. Step 5: Solve for x
    x = 9,211,012.59/3,288.60
  6. Step 6: Final answer
    x = 2,800.89

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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.