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Finding the Fourth Proportional to 2,889.96, 4,335.96 and 942.15

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Solution

The fourth proportional to 2,889.96, 4,335.96 and 942.15 is: 1,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.96 : 4,335.96 = 942.15 : x
  2. Step 2: Convert to fraction form
    2,889.96/4,335.96 = 942.15/x
  3. Step 3: Cross multiply
    2,889.96x = 4,335.96 × 942.15
  4. Step 4: Simplify right side
    2,889.96x = 4,085,124.71
  5. Step 5: Solve for x
    x = 4,085,124.71/2,889.96
  6. Step 6: Final answer
    x = 1,413.56

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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.