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Finding the Fourth Proportional to 3,042.93, 4,563.73 and 962.67

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Solution

The fourth proportional to 3,042.93, 4,563.73 and 962.67 is: 1,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.93 : 4,563.73 = 962.67 : x
  2. Step 2: Convert to fraction form
    3,042.93/4,563.73 = 962.67/x
  3. Step 3: Cross multiply
    3,042.93x = 4,563.73 × 962.67
  4. Step 4: Simplify right side
    3,042.93x = 4,393,365.96
  5. Step 5: Solve for x
    x = 4,393,365.96/3,042.93
  6. Step 6: Final answer
    x = 1,443.79

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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.