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Finding the Fourth Proportional to 2,964.88, 4,443 and 2,024.56

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Solution

The fourth proportional to 2,964.88, 4,443 and 2,024.56 is: 3,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.88 : 4,443 = 2,024.56 : x
  2. Step 2: Convert to fraction form
    2,964.88/4,443 = 2,024.56/x
  3. Step 3: Cross multiply
    2,964.88x = 4,443 × 2,024.56
  4. Step 4: Simplify right side
    2,964.88x = 8,995,120.08
  5. Step 5: Solve for x
    x = 8,995,120.08/2,964.88
  6. Step 6: Final answer
    x = 3,033.89

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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.