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Finding the Fourth Proportional to 1,609.92, 2,413.02 and 742.41

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Solution

The fourth proportional to 1,609.92, 2,413.02 and 742.41 is: 1,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.92 : 2,413.02 = 742.41 : x
  2. Step 2: Convert to fraction form
    1,609.92/2,413.02 = 742.41/x
  3. Step 3: Cross multiply
    1,609.92x = 2,413.02 × 742.41
  4. Step 4: Simplify right side
    1,609.92x = 1,791,450.18
  5. Step 5: Solve for x
    x = 1,791,450.18/1,609.92
  6. Step 6: Final answer
    x = 1,112.76

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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.