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Finding the Fourth Proportional to 1,413.76, 1,951.96 and 1,081.61

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Solution

The fourth proportional to 1,413.76, 1,951.96 and 1,081.61 is: 1,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.76 : 1,951.96 = 1,081.61 : x
  2. Step 2: Convert to fraction form
    1,413.76/1,951.96 = 1,081.61/x
  3. Step 3: Cross multiply
    1,413.76x = 1,951.96 × 1,081.61
  4. Step 4: Simplify right side
    1,413.76x = 2,111,259.46
  5. Step 5: Solve for x
    x = 2,111,259.46/1,413.76
  6. Step 6: Final answer
    x = 1,493.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.