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Finding the Fourth Proportional to 3,289.88, 4,931.75 and 1,209.39

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Solution

The fourth proportional to 3,289.88, 4,931.75 and 1,209.39 is: 1,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.88 : 4,931.75 = 1,209.39 : x
  2. Step 2: Convert to fraction form
    3,289.88/4,931.75 = 1,209.39/x
  3. Step 3: Cross multiply
    3,289.88x = 4,931.75 × 1,209.39
  4. Step 4: Simplify right side
    3,289.88x = 5,964,403.09
  5. Step 5: Solve for x
    x = 5,964,403.09/3,289.88
  6. Step 6: Final answer
    x = 1,812.96

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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.