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Finding the Fourth Proportional to 3,289.60, 4,934.40 and 1,646.40

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Solution

The fourth proportional to 3,289.60, 4,934.40 and 1,646.40 is: 2,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.60 : 4,934.40 = 1,646.40 : x
  2. Step 2: Convert to fraction form
    3,289.60/4,934.40 = 1,646.40/x
  3. Step 3: Cross multiply
    3,289.60x = 4,934.40 × 1,646.40
  4. Step 4: Simplify right side
    3,289.60x = 8,123,996.16
  5. Step 5: Solve for x
    x = 8,123,996.16/3,289.60
  6. Step 6: Final answer
    x = 2,469.60

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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.