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Finding the Fourth Proportional to 3,134.46, 4,700.92 and 942.60

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Solution

The fourth proportional to 3,134.46, 4,700.92 and 942.60 is: 1,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.46 : 4,700.92 = 942.60 : x
  2. Step 2: Convert to fraction form
    3,134.46/4,700.92 = 942.60/x
  3. Step 3: Cross multiply
    3,134.46x = 4,700.92 × 942.60
  4. Step 4: Simplify right side
    3,134.46x = 4,431,087.19
  5. Step 5: Solve for x
    x = 4,431,087.19/3,134.46
  6. Step 6: Final answer
    x = 1,413.67

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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.