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Finding the Fourth Proportional to 3,251.13, 4,876.69 and 942.63

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Solution

The fourth proportional to 3,251.13, 4,876.69 and 942.63 is: 1,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.13 : 4,876.69 = 942.63 : x
  2. Step 2: Convert to fraction form
    3,251.13/4,876.69 = 942.63/x
  3. Step 3: Cross multiply
    3,251.13x = 4,876.69 × 942.63
  4. Step 4: Simplify right side
    3,251.13x = 4,596,914.29
  5. Step 5: Solve for x
    x = 4,596,914.29/3,251.13
  6. Step 6: Final answer
    x = 1,413.94

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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.