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Finding the Fourth Proportional to 3,213.68, 4,821.71 and 1,267.24

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Solution

The fourth proportional to 3,213.68, 4,821.71 and 1,267.24 is: 1,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.68 : 4,821.71 = 1,267.24 : x
  2. Step 2: Convert to fraction form
    3,213.68/4,821.71 = 1,267.24/x
  3. Step 3: Cross multiply
    3,213.68x = 4,821.71 × 1,267.24
  4. Step 4: Simplify right side
    3,213.68x = 6,110,242.84
  5. Step 5: Solve for x
    x = 6,110,242.84/3,213.68
  6. Step 6: Final answer
    x = 1,901.33

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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.