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Finding the Fourth Proportional to 2,964.48, 4,446.84 and 1,576.80

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Solution

The fourth proportional to 2,964.48, 4,446.84 and 1,576.80 is: 2,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.48 : 4,446.84 = 1,576.80 : x
  2. Step 2: Convert to fraction form
    2,964.48/4,446.84 = 1,576.80/x
  3. Step 3: Cross multiply
    2,964.48x = 4,446.84 × 1,576.80
  4. Step 4: Simplify right side
    2,964.48x = 7,011,777.31
  5. Step 5: Solve for x
    x = 7,011,777.31/2,964.48
  6. Step 6: Final answer
    x = 2,365.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.