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Finding the Fourth Proportional to 3,282.87, 4,920.53 and 1,433.55

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Solution

The fourth proportional to 3,282.87, 4,920.53 and 1,433.55 is: 2,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.87 : 4,920.53 = 1,433.55 : x
  2. Step 2: Convert to fraction form
    3,282.87/4,920.53 = 1,433.55/x
  3. Step 3: Cross multiply
    3,282.87x = 4,920.53 × 1,433.55
  4. Step 4: Simplify right side
    3,282.87x = 7,053,818.61
  5. Step 5: Solve for x
    x = 7,053,818.61/3,282.87
  6. Step 6: Final answer
    x = 2,148.67

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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.