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Finding the Fourth Proportional to 3,044.35, 4,564.79 and 964.88

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Solution

The fourth proportional to 3,044.35, 4,564.79 and 964.88 is: 1,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.35 : 4,564.79 = 964.88 : x
  2. Step 2: Convert to fraction form
    3,044.35/4,564.79 = 964.88/x
  3. Step 3: Cross multiply
    3,044.35x = 4,564.79 × 964.88
  4. Step 4: Simplify right side
    3,044.35x = 4,404,446.93
  5. Step 5: Solve for x
    x = 4,404,446.93/3,044.35
  6. Step 6: Final answer
    x = 1,446.76

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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.