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Finding the Fourth Proportional to 3,134.02, 4,701.48 and 942.46

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Solution

The fourth proportional to 3,134.02, 4,701.48 and 942.46 is: 1,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.02 : 4,701.48 = 942.46 : x
  2. Step 2: Convert to fraction form
    3,134.02/4,701.48 = 942.46/x
  3. Step 3: Cross multiply
    3,134.02x = 4,701.48 × 942.46
  4. Step 4: Simplify right side
    3,134.02x = 4,430,958.75
  5. Step 5: Solve for x
    x = 4,430,958.75/3,134.02
  6. Step 6: Final answer
    x = 1,413.83

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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.