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Finding the Fourth Proportional to 3,213.81, 4,821 and 1,265.55

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Solution

The fourth proportional to 3,213.81, 4,821 and 1,265.55 is: 1,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.81 : 4,821 = 1,265.55 : x
  2. Step 2: Convert to fraction form
    3,213.81/4,821 = 1,265.55/x
  3. Step 3: Cross multiply
    3,213.81x = 4,821 × 1,265.55
  4. Step 4: Simplify right side
    3,213.81x = 6,101,216.55
  5. Step 5: Solve for x
    x = 6,101,216.55/3,213.81
  6. Step 6: Final answer
    x = 1,898.44

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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.