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Finding the Fourth Proportional to 3,042.43, 4,563.26 and 962.65

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Solution

The fourth proportional to 3,042.43, 4,563.26 and 962.65 is: 1,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.43 : 4,563.26 = 962.65 : x
  2. Step 2: Convert to fraction form
    3,042.43/4,563.26 = 962.65/x
  3. Step 3: Cross multiply
    3,042.43x = 4,563.26 × 962.65
  4. Step 4: Simplify right side
    3,042.43x = 4,392,822.24
  5. Step 5: Solve for x
    x = 4,392,822.24/3,042.43
  6. Step 6: Final answer
    x = 1,443.85

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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.