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Finding the Fourth Proportional to 3,212.91, 4,821.21 and 1,266.48

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Solution

The fourth proportional to 3,212.91, 4,821.21 and 1,266.48 is: 1,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.91 : 4,821.21 = 1,266.48 : x
  2. Step 2: Convert to fraction form
    3,212.91/4,821.21 = 1,266.48/x
  3. Step 3: Cross multiply
    3,212.91x = 4,821.21 × 1,266.48
  4. Step 4: Simplify right side
    3,212.91x = 6,105,966.04
  5. Step 5: Solve for x
    x = 6,105,966.04/3,212.91
  6. Step 6: Final answer
    x = 1,900.45

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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.