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Finding the Fourth Proportional to 1,609.46, 2,413.41 and 786.77

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Solution

The fourth proportional to 1,609.46, 2,413.41 and 786.77 is: 1,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.46 : 2,413.41 = 786.77 : x
  2. Step 2: Convert to fraction form
    1,609.46/2,413.41 = 786.77/x
  3. Step 3: Cross multiply
    1,609.46x = 2,413.41 × 786.77
  4. Step 4: Simplify right side
    1,609.46x = 1,898,786.52
  5. Step 5: Solve for x
    x = 1,898,786.52/1,609.46
  6. Step 6: Final answer
    x = 1,179.77

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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.