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Finding the Fourth Proportional to 3,169.60, 4,745.76 and 2,232.88

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Solution

The fourth proportional to 3,169.60, 4,745.76 and 2,232.88 is: 3,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.60 : 4,745.76 = 2,232.88 : x
  2. Step 2: Convert to fraction form
    3,169.60/4,745.76 = 2,232.88/x
  3. Step 3: Cross multiply
    3,169.60x = 4,745.76 × 2,232.88
  4. Step 4: Simplify right side
    3,169.60x = 10,596,712.59
  5. Step 5: Solve for x
    x = 10,596,712.59/3,169.60
  6. Step 6: Final answer
    x = 3,343.23

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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.