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Finding the Fourth Proportional to 3,289.50, 4,931.82 and 1,990.68

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Solution

The fourth proportional to 3,289.50, 4,931.82 and 1,990.68 is: 2,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.50 : 4,931.82 = 1,990.68 : x
  2. Step 2: Convert to fraction form
    3,289.50/4,931.82 = 1,990.68/x
  3. Step 3: Cross multiply
    3,289.50x = 4,931.82 × 1,990.68
  4. Step 4: Simplify right side
    3,289.50x = 9,817,675.44
  5. Step 5: Solve for x
    x = 9,817,675.44/3,289.50
  6. Step 6: Final answer
    x = 2,984.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.