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Finding the Fourth Proportional to 3,042.82, 4,562.50 and 962.44

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Solution

The fourth proportional to 3,042.82, 4,562.50 and 962.44 is: 1,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.82 : 4,562.50 = 962.44 : x
  2. Step 2: Convert to fraction form
    3,042.82/4,562.50 = 962.44/x
  3. Step 3: Cross multiply
    3,042.82x = 4,562.50 × 962.44
  4. Step 4: Simplify right side
    3,042.82x = 4,391,132.50
  5. Step 5: Solve for x
    x = 4,391,132.50/3,042.82
  6. Step 6: Final answer
    x = 1,443.11

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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.