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Finding the Fourth Proportional to 3,421.68, 4,722.24 and 2,024.64

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Solution

The fourth proportional to 3,421.68, 4,722.24 and 2,024.64 is: 2,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.68 : 4,722.24 = 2,024.64 : x
  2. Step 2: Convert to fraction form
    3,421.68/4,722.24 = 2,024.64/x
  3. Step 3: Cross multiply
    3,421.68x = 4,722.24 × 2,024.64
  4. Step 4: Simplify right side
    3,421.68x = 9,560,835.99
  5. Step 5: Solve for x
    x = 9,560,835.99/3,421.68
  6. Step 6: Final answer
    x = 2,794.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.